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22314023368 = 23721343791289
BaseRepresentation
bin10100110010000001…
…001111100111001000
32010121002202211112221
4110302001033213020
5331144342221433
614130110543424
71416651032500
oct246201174710
963532684487
1022314023368
11951075902a
1243a8b07b74
132147c1ca30
141119764a00
158a8eac72d
hex53204f9c8

22314023368 has 192 divisors, whose sum is σ = 54353376000. Its totient is φ = 8506487808.

The previous prime is 22314023359. The next prime is 22314023401. The reversal of 22314023368 is 86332041322.

It is a super-3 number, since 3×223140233683 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17310468 + ... + 17311756.

It is an arithmetic number, because the mean of its divisors is an integer number (283090500).

Almost surely, 222314023368 is an apocalyptic number.

22314023368 is a gapful number since it is divisible by the number (28) 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 22314023368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27176688000).

22314023368 is an abundant number, since it is smaller than the sum of its proper divisors (32039352632).

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

22314023368 is a wasteful number, since it uses less digits than its factorization.

22314023368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 22314023368 in words is "twenty-two billion, three hundred fourteen million, twenty-three thousand, three hundred sixty-eight".