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22022034100 = 225211731391973
BaseRepresentation
bin10100100000100111…
…011001001010110100
32002211202100020120121
4110200213121022310
5330100120042400
614041120341324
71406504126023
oct244047311264
962752306517
1022022034100
119380956190
124327174844
1320cc598211
1410cca788ba
1588d53221a
hex5209d92b4

22022034100 has 144 divisors (see below), whose sum is σ = 53253466560. Its totient is φ = 7837516800.

The previous prime is 22022034077. The next prime is 22022034119. The reversal of 22022034100 is 143022022.

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, 11160714 + ... + 11162686.

It is an arithmetic number, because the mean of its divisors is an integer number (369815740).

Almost surely, 222022034100 is an apocalyptic number.

22022034100 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 22022034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26626733280).

22022034100 is an abundant number, since it is smaller than the sum of its proper divisors (31231432460).

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

22022034100 is a wasteful number, since it uses less digits than its factorization.

22022034100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 22022034100 its reverse (143022022), we get a palindrome (22165056122).

It can be divided in two parts, 2202 and 2034100, that added together give a palindrome (2036302).

The spelling of 22022034100 in words is "twenty-two billion, twenty-two million, thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 139 146 220 275 278 292 365 550 556 695 730 803 1100 1390 1460 1529 1606 1825 1973 2780 3058 3212 3475 3650 3946 4015 6116 6950 7300 7645 7892 8030 9865 10147 13900 15290 16060 19730 20075 20294 21703 30580 38225 39460 40150 40588 43406 49325 50735 76450 80300 86812 98650 101470 108515 111617 144029 152900 197300 202940 217030 223234 253675 274247 288058 434060 446468 507350 542575 548494 558085 576116 720145 1014700 1085150 1096988 1116170 1371235 1440290 1584319 2170300 2232340 2742470 2790425 2880580 3016717 3168638 3600725 5484940 5580850 6033434 6337276 6856175 7201450 7921595 11161700 12066868 13712350 14402900 15083585 15843190 20020031 27424700 30167170 31686380 39607975 40040062 60334340 75417925 79215950 80080124 100100155 150835850 158431900 200200310 220220341 301671700 400400620 440440682 500500775 880881364 1001001550 1101101705 2002003100 2202203410 4404406820 5505508525 11011017050 22022034100