Search a number
-
+
22020200022100 = 22527193164952313
BaseRepresentation
bin1010000000110111110100…
…01100110100000001010100
32212222002222121012210121111
411000123322030310001110
510341234332201201400
6114455535031424404
74431623040622450
oct500337214640124
985862877183544
1022020200022100
11701a794935465
1225777b4525104
13c3965a7b70b7
14561ad77bd660
15282be14403ba
hex1406fa334054

22020200022100 has 144 divisors (see below), whose sum is σ = 57487226832000. Its totient is φ = 7152063160320.

The previous prime is 22020200022077. The next prime is 22020200022113. The reversal of 22020200022100 is 122000202022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420905544 + ... + 420957856.

It is an arithmetic number, because the mean of its divisors is an integer number (399216853000).

Almost surely, 222020200022100 is an apocalyptic number.

22020200022100 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 22020200022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28743613416000).

22020200022100 is an abundant number, since it is smaller than the sum of its proper divisors (35467026809900).

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

22020200022100 is a wasteful number, since it uses less digits than its factorization.

22020200022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84002 (or 83995 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 22020200022100 its reverse (122000202022), we get a palindrome (22142200224122).

The spelling of 22020200022100 in words is "twenty-two trillion, twenty billion, two hundred million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 190 266 350 380 475 532 665 700 950 1330 1900 2660 3325 6650 13300 31649 52313 63298 104626 126596 158245 209252 221543 261565 316490 366191 443086 523130 601331 632980 732382 791225 886172 993947 1046260 1107715 1202662 1307825 1464764 1582450 1830955 1987894 2215430 2405324 2615650 3006655 3164900 3661910 3975788 4209317 4430860 4969735 5231300 5538575 6013310 6957629 7323820 8418634 9154775 9939470 11077150 12026620 13915258 15033275 16837268 18309550 19878940 21046585 22154300 24848675 27830516 30066550 34788145 36619100 42093170 49697350 60133100 69576290 84186340 99394700 105232925 139152580 173940725 210465850 347881450 420931700 695762900 1655654137 3311308274 6622616548 8278270685 11589578959 16556541370 23179157918 31457428603 33113082740 41391353425 46358315836 57947894795 62914857206 82782706850 115895789590 125829714412 157287143015 165565413700 220202000221 231791579180 289739473975 314574286030 440404000442 579478947950 629148572060 786435715075 880808000884 1101010001105 1158957895900 1572871430150 2202020002210 3145742860300 4404040004420 5505050005525 11010100011050 22020200022100