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22052520072 = 2332112372432
BaseRepresentation
bin10100100010011011…
…101100000010001000
32002220212201002110200
4110202123230002020
5330130421120242
614044130012200
71410324220302
oct244233540210
962825632420
1022052520072
119397088800
124335417060
1321059b045b
1410d2b32972
1589105504c
hex5226ec088

22052520072 has 324 divisors, whose sum is σ = 69076601685. Its totient is φ = 6350762880.

The previous prime is 22052520041. The next prime is 22052520089. The reversal of 22052520072 is 27002525022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22052520072 is a `hidden beast` number, since 2 + 20 + 52 + 520 + 0 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17791824996 + 4260695076 = 133386^2 + 65274^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105006.

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 80 ways as a sum of consecutive naturals, for example, 512849283 + ... + 512849325.

Almost surely, 222052520072 is an apocalyptic number.

22052520072 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 22052520072

22052520072 is an abundant number, since it is smaller than the sum of its proper divisors (47024081613).

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

22052520072 is a wasteful number, since it uses less digits than its factorization.

22052520072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The spelling of 22052520072 in words is "twenty-two billion, fifty-two million, five hundred twenty thousand, seventy-two".