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22130331200 = 265234574001
BaseRepresentation
bin10100100111000100…
…100000111001000000
32010010022010022021022
4110213010200321000
5330310331044300
614055545445012
71412260466015
oct244704407100
963108108238
1022130331200
119426aa441a
1243574a0768
132118b55443
1410dd1c970c
15897cc5285
hex527120e40

22130331200 has 84 divisors (see below), whose sum is σ = 54483812292. Its totient is φ = 8847360000.

The previous prime is 22130331193. The next prime is 22130331221. The reversal of 22130331200 is 213303122.

It can be written as a sum of positive squares in 6 ways, for example, as 10643636224 + 11486694976 = 103168^2 + 107176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5529200 + ... + 5533200.

It is an arithmetic number, because the mean of its divisors is an integer number (648616813).

Almost surely, 222130331200 is an apocalyptic number.

22130331200 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 22130331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27241906146).

22130331200 is an abundant number, since it is smaller than the sum of its proper divisors (32353481092).

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

22130331200 is a wasteful number, since it uses less digits than its factorization.

22130331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7465 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 22130331200 its reverse (213303122), we get a palindrome (22343634322).

The spelling of 22130331200 in words is "twenty-two billion, one hundred thirty million, three hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 3457 4001 6914 8002 13828 16004 17285 20005 27656 32008 34570 40010 55312 64016 69140 80020 86425 100025 110624 128032 138280 160040 172850 200050 221248 256064 276560 320080 345700 400100 553120 640160 691400 800200 1106240 1280320 1382800 1600400 2765600 3200800 5531200 6401600 13831457 27662914 55325828 69157285 110651656 138314570 221303312 276629140 345786425 442606624 553258280 691572850 885213248 1106516560 1383145700 2213033120 2766291400 4426066240 5532582800 11065165600 22130331200