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9012202112 = 27175237919
BaseRepresentation
bin10000110010010101…
…10100101010000000
3212021002001022011102
420121022310222000
5121424110431422
64050134433532
7436221311504
oct103112645200
925232038142
109012202112
113905175921
1218b62028a8
13b08163294
14616cb0304
1537b2dc192
hex2192b4a80

9012202112 has 64 divisors (see below), whose sum is σ = 19048867200. Its totient is φ = 4232392704.

The previous prime is 9012202099. The next prime is 9012202123. The reversal of 9012202112 is 2112022109.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 1134089 + ... + 1142007.

It is an arithmetic number, because the mean of its divisors is an integer number (297638550).

Almost surely, 29012202112 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 9012202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9524433600).

9012202112 is an abundant number, since it is smaller than the sum of its proper divisors (10036665088).

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

9012202112 is a wasteful number, since it uses less digits than its factorization.

9012202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8473 (or 8461 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 9012202112 is about 94932.6187988091. The cubic root of 9012202112 is about 2081.0234509699.

The spelling of 9012202112 in words is "nine billion, twelve million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 523 544 1046 1088 2092 2176 4184 7919 8368 8891 15838 16736 17782 31676 33472 35564 63352 66944 71128 126704 134623 142256 253408 269246 284512 506816 538492 569024 1013632 1076984 1138048 2153968 4141637 4307936 8283274 8615872 16566548 17231744 33133096 66266192 70407829 132532384 140815658 265064768 281631316 530129536 563262632 1126525264 2253050528 4506101056 9012202112