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22229102592 = 212331971149
BaseRepresentation
bin10100101100111101…
…010011000000000000
32010101011222102011000
4110230331103000000
5331011122240332
614113434452000
71414600153164
oct245475230000
963334872130
1022229102592
119477826874
124384594000
132133458958
14110c37aca4
158a17d5b7c
hex52cf53000

22229102592 has 416 divisors, whose sum is σ = 70770240000. Its totient is φ = 6874398720.

The previous prime is 22229102587. The next prime is 22229102603. The reversal of 22229102592 is 29520192222.

It is a super-2 number, since 2×222291025922 (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 149188534 + ... + 149188682.

Almost surely, 222229102592 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 22229102592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35385120000).

22229102592 is an abundant number, since it is smaller than the sum of its proper divisors (48541137408).

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

22229102592 is a wasteful number, since it uses less digits than its factorization.

22229102592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 22229102592 in words is "twenty-two billion, two hundred twenty-nine million, one hundred two thousand, five hundred ninety-two".