Search a number
-
+
22222130242000 = 2453131316524407
BaseRepresentation
bin1010000110101111111100…
…01011011110000111010000
32220200102012110112211000211
411003113332023132013100
510403041410320221000
6115132412233053504
74452332050311643
oct503277613360720
986612173484024
1022222130242000
117098397212417
1225aa96a557294
13c526cb98ac10
1456b7b1d93a5a
152880ae0917ba
hex1435fe2de1d0

22222130242000 has 160 divisors (see below), whose sum is σ = 58308164538624. Its totient is φ = 8142458688000.

The previous prime is 22222130241989. The next prime is 22222130242001. The reversal of 22222130242000 is 24203122222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22222130242001) 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, 143797 + ... + 6668203.

Almost surely, 222222130242000 is an apocalyptic number.

22222130242000 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 22222130242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29154082269312).

22222130242000 is an abundant number, since it is smaller than the sum of its proper divisors (36086034296624).

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

22222130242000 is a wasteful number, since it uses less digits than its factorization.

22222130242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6524574 (or 6524558 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 22222130242000 its reverse (24203122222), we get a palindrome (22246333364222).

The spelling of 22222130242000 in words is "twenty-two trillion, two hundred twenty-two billion, one hundred thirty million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 131 200 208 250 260 262 325 400 500 520 524 650 655 1000 1040 1048 1300 1310 1625 1703 2000 2096 2600 2620 3250 3275 3406 5200 5240 6500 6550 6812 8515 10480 13000 13100 13624 16375 17030 26000 26200 27248 32750 34060 42575 52400 65500 68120 85150 131000 136240 170300 212875 262000 340600 425750 681200 851500 1703000 3406000 6524407 13048814 26097628 32622035 52195256 65244070 84817291 104390512 130488140 163110175 169634582 260976280 326220350 339269164 424086455 521952560 652440700 678538328 815550875 848172910 854697317 1304881400 1357076656 1631101750 1696345820 1709394634 2120432275 2609762800 3262203500 3392691640 3418789268 4240864550 4273486585 6524407000 6785383280 6837578536 8481729100 8546973170 10602161375 11111065121 13048814000 13675157072 16963458200 17093946340 21204322750 21367432925 22222130242 33926916400 34187892680 42408645500 42734865850 44444260484 55555325605 68375785360 84817291000 85469731700 88888520968 106837164625 111110651210 169634582000 170939463400 177777041936 213674329250 222221302420 277776628025 341878926800 427348658500 444442604840 555553256050 854697317000 888885209680 1111106512100 1388883140125 1709394634000 2222213024200 2777766280250 4444426048400 5555532560500 11111065121000 22222130242000