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22110212002000 = 2453174871335319
BaseRepresentation
bin1010000011011111011110…
…10101010001000011010000
32220021201022200122011001211
411001233233111101003100
510344223203233031000
6115005142520505504
74441260444053023
oct501575725210320
986251280564054
1022110212002000
1170549852991a1
12259113531b294
13c44ca3c42175
145661d61191ba
1528520d8867ba
hex141bef5510d0

22110212002000 has 160 divisors (see below), whose sum is σ = 56723624455680. Its totient is φ = 8306746214400.

The previous prime is 22110212001991. The next prime is 22110212002007. The reversal of 22110212002000 is 20021201122.

It is a happy number.

It is a super-2 number, since 2×221102120020002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22110212002007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15890341 + ... + 17225659.

It is an arithmetic number, because the mean of its divisors is an integer number (354522652848).

Almost surely, 222110212002000 is an apocalyptic number.

22110212002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110212002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28361812227840).

22110212002000 is an abundant number, since it is smaller than the sum of its proper divisors (34613412453680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22110212002000 is a wasteful number, since it uses less digits than its factorization.

22110212002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335846 (or 1335830 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 22110212002000 its reverse (20021201122), we get a palindrome (22130233203122).

The spelling of 22110212002000 in words is "twenty-two trillion, one hundred ten billion, two hundred twelve million, two thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 340 400 425 487 500 680 850 974 1000 1360 1700 1948 2000 2125 2435 3400 3896 4250 4870 6800 7792 8279 8500 9740 12175 16558 17000 19480 24350 33116 34000 38960 41395 48700 60875 66232 82790 97400 121750 132464 165580 194800 206975 243500 331160 413950 487000 662320 827900 974000 1034875 1335319 1655800 2069750 2670638 3311600 4139500 5341276 6676595 8279000 10682552 13353190 16558000 21365104 22700423 26706380 33382975 45400846 53412760 66765950 90801692 106825520 113502115 133531900 166914875 181603384 227004230 267063800 333829750 363206768 454008460 534127600 567510575 650300353 667659500 908016920 1135021150 1300600706 1335319000 1816033840 2270042300 2601201412 2670638000 2837552875 3251501765 4540084600 5202402824 5675105750 6503003530 9080169200 10404805648 11055106001 11350211500 13006007060 16257508825 22110212002 22700423000 26012014120 32515017650 44220424004 45400846000 52024028240 55275530005 65030035300 81287544125 88440848008 110551060010 130060070600 162575088250 176881696016 221102120020 260120141200 276377650025 325150176500 442204240040 552755300050 650300353000 884408480080 1105510600100 1300600706000 1381888250125 2211021200200 2763776500250 4422042400400 5527553000500 11055106001000 22110212002000