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22157091216 = 2434132357179
BaseRepresentation
bin10100101000101010…
…100110000110010000
32010012011110212010000
4110220222212012100
5330334203404331
614102343210000
71413034111401
oct245052460620
963164425100
1022157091216
119440111637
124364446900
132121564780
1411029939a8
1589a30e0e6
hex528aa6190

22157091216 has 200 divisors, whose sum is σ = 72066012480. Its totient is φ = 6521036544.

The previous prime is 22157091199. The next prime is 22157091247. The reversal of 22157091216 is 61219075122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 358915 + ... + 416093.

Almost surely, 222157091216 is an apocalyptic number.

22157091216 is a gapful number since it is divisible by the number (26) 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 22157091216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36033006240).

22157091216 is an abundant number, since it is smaller than the sum of its proper divisors (49908921264).

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

22157091216 is a wasteful number, since it uses less digits than its factorization.

22157091216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57235 (or 57220 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 22157091216 in words is "twenty-two billion, one hundred fifty-seven million, ninety-one thousand, two hundred sixteen".