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22131112200 = 23352291271903
BaseRepresentation
bin10100100111000111…
…011111100100001000
32010010100120222121020
4110213013133210020
5330311031042300
614100014312440
71412300231001
oct244707374410
963110528536
1022131112200
11942748817a
1243577b8720
132119069a82
1410dd3501a8
15897dcb8a0
hex5271df908

22131112200 has 96 divisors (see below), whose sum is σ = 70972243200. Its totient is φ = 5698120960.

The previous prime is 22131112183. The next prime is 22131112217. The reversal of 22131112200 is 221113122.

It is an interprime number because it is at equal distance from previous prime (22131112183) and next prime (22131112217).

It is a super-2 number, since 2×221311122002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22131112200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618552 + ... + 653351.

It is an arithmetic number, because the mean of its divisors is an integer number (739294200).

Almost surely, 222131112200 is an apocalyptic number.

22131112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22131112200 is an abundant number, since it is smaller than the sum of its proper divisors (48841131000).

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

22131112200 is a wasteful number, since it uses less digits than its factorization.

22131112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271951 (or 1271942 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 22131112200 its reverse (221113122), we get a palindrome (22352225322).

The spelling of 22131112200 in words is "twenty-two billion, one hundred thirty-one million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 145 150 174 200 232 290 300 348 435 580 600 696 725 870 1160 1450 1740 2175 2900 3480 4350 5800 8700 17400 1271903 2543806 3815709 5087612 6359515 7631418 10175224 12719030 15262836 19078545 25438060 30525672 31797575 36885187 38157090 50876120 63595150 73770374 76314180 95392725 110655561 127190300 147540748 152628360 184425935 190785450 221311122 254380600 295081496 368851870 381570900 442622244 553277805 737703740 763141800 885244488 922129675 1106555610 1475407480 1844259350 2213111220 2766389025 3688518700 4426222440 5532778050 7377037400 11065556100 22131112200