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22104274632 = 23311653128221
BaseRepresentation
bin10100100101100001…
…000111011011001000
32010001111002111101020
4110211201013123020
5330232143242012
614053215152440
71411523143236
oct244541073310
963044074336
1022104274632
119413317770
12434a815720
13211363135b
1410d9965956
15895879a8c
hex5258476c8

22104274632 has 64 divisors (see below), whose sum is σ = 60377175360. Its totient is φ = 6687955200.

The previous prime is 22104274631. The next prime is 22104274669. The reversal of 22104274632 is 23647240122.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 22104274593 and 22104274602.

It is not an unprimeable number, because it can be changed into a prime (22104274631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108282 + ... + 236502.

It is an arithmetic number, because the mean of its divisors is an integer number (943393365).

Almost surely, 222104274632 is an apocalyptic number.

22104274632 is a gapful number since it is divisible by the number (22) 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 22104274632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30188587680).

22104274632 is an abundant number, since it is smaller than the sum of its proper divisors (38272900728).

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

22104274632 is a wasteful number, since it uses less digits than its factorization.

22104274632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128894 (or 128890 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 22104274632 in words is "twenty-two billion, one hundred four million, two hundred seventy-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 653 1306 1959 2612 3918 5224 7183 7836 14366 15672 21549 28732 43098 57464 86196 128221 172392 256442 384663 512884 769326 1025768 1410431 1538652 2820862 3077304 4231293 5641724 8462586 11283448 16925172 33850344 83728313 167456626 251184939 334913252 502369878 669826504 921011443 1004739756 1842022886 2009479512 2763034329 3684045772 5526068658 7368091544 11052137316 22104274632