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22152410120 = 235553810253
BaseRepresentation
bin10100101000011000…
…101111010000001000
32010011211200000212002
4110220120233100020
5330332004110440
614102055010132
71412646244031
oct245030572010
963154600762
1022152410120
119438504665
124362969948
1321205b5ba9
1411020d5a88
15899bd7115
hex52862f408

22152410120 has 16 divisors (see below), whose sum is σ = 49842922860. Its totient is φ = 8860964032.

The previous prime is 22152410117. The next prime is 22152410173. The reversal of 22152410120 is 2101425122.

It can be written as a sum of positive squares in 2 ways, for example, as 18948623716 + 3203786404 = 137654^2 + 56602^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22152410092 and 22152410101.

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 3 ways as a sum of consecutive naturals, for example, 276905087 + ... + 276905166.

Almost surely, 222152410120 is an apocalyptic number.

22152410120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22152410120 is an abundant number, since it is smaller than the sum of its proper divisors (27690512740).

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

22152410120 is a wasteful number, since it uses less digits than its factorization.

22152410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553810264 (or 553810260 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 22152410120 its reverse (2101425122), we get a palindrome (24253835242).

The spelling of 22152410120 in words is "twenty-two billion, one hundred fifty-two million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 553810253 1107620506 2215241012 2769051265 4430482024 5538102530 11076205060 22152410120