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22552000512 = 211313926407
BaseRepresentation
bin10101000000001101…
…000011100000000000
32011012200120022211020
4111000031003200000
5332141303004022
614205451345440
71425600561426
oct250015034000
964180508736
1022552000512
11962301a858
124454752280
132185312c02
14113d1d1116
158bed1935c
hex540343800

22552000512 has 96 divisors (see below), whose sum is σ = 60558825600. Its totient is φ = 7462969344.

The previous prime is 22552000501. The next prime is 22552000529. The reversal of 22552000512 is 21500025522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840813 + ... + 867219.

It is an arithmetic number, because the mean of its divisors is an integer number (630821100).

Almost surely, 222552000512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22552000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30279412800).

22552000512 is an abundant number, since it is smaller than the sum of its proper divisors (38006825088).

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

22552000512 is a wasteful number, since it uses less digits than its factorization.

22552000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26571 (or 26551 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 22552000512 in words is "twenty-two billion, five hundred fifty-two million, five hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 512 556 768 834 1024 1112 1536 1668 2048 2224 3072 3336 4448 6144 6672 8896 13344 17792 26407 26688 35584 52814 53376 71168 79221 105628 106752 142336 158442 211256 213504 284672 316884 422512 427008 633768 845024 854016 1267536 1690048 2535072 3380096 3670573 5070144 6760192 7341146 10140288 11011719 13520384 14682292 20280576 22023438 27040768 29364584 40561152 44046876 54081536 58729168 81122304 88093752 117458336 162244608 176187504 234916672 352375008 469833344 704750016 939666688 1409500032 1879333376 2819000064 3758666752 5638000128 7517333504 11276000256 22552000512