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2168457372 = 22331737137233
BaseRepresentation
bin1000000101000000…
…0000100010011100
312121010100001022000
42001100000202130
513420111113442
6555101322300
7104510404104
oct20120004234
95533301260
102168457372
11a13046134
12506266390
13287339493
14167dca204
15ca58ad4c
hex8140089c

2168457372 has 192 divisors, whose sum is σ = 6184563840. Its totient is φ = 654262272.

The previous prime is 2168457349. The next prime is 2168457413. The reversal of 2168457372 is 2737548612.

2168457372 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 4 + 573 + 72 = 666.

It is a super-2 number, since 2×21684573722 = 9404414748362292768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9306568 + ... + 9306800.

It is an arithmetic number, because the mean of its divisors is an integer number (32211270).

Almost surely, 22168457372 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 2168457372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3092281920).

2168457372 is an abundant number, since it is smaller than the sum of its proper divisors (4016106468).

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

2168457372 is a wasteful number, since it uses less digits than its factorization.

2168457372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2168457372 is about 46566.6981006813. The cubic root of 2168457372 is about 1294.3457331181.

The spelling of 2168457372 in words is "two billion, one hundred sixty-eight million, four hundred fifty-seven thousand, three hundred seventy-two".