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22151336162 = 21922921912
BaseRepresentation
bin10100101000010100…
…101001000011100010
32010011202122110122212
4110220110221003202
5330331220224122
614102020002122
71412634151664
oct245024510342
963152573585
1022151336162
11943794079a
124362530342
1321202cb107
141101cd6534
15899a73ce2
hex5285290e2

22151336162 has 54 divisors (see below), whose sum is σ = 36509915169. Its totient is φ = 10077878160.

The previous prime is 22151336149. The next prime is 22151336177. The reversal of 22151336162 is 26163315122.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22138166521 + 13169641 = 148789^2 + 3629^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105241.

It is a super-3 number, since 3×221513361623 (a number of 32 digits) contains 333 as substring.

It is a Duffinian number.

Its product of digits (12960) is a multiple of the sum of its prime factors (480).

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 26 ways as a sum of consecutive naturals, for example, 115975487 + ... + 115975677.

Almost surely, 222151336162 is an apocalyptic number.

22151336162 is a deficient number, since it is larger than the sum of its proper divisors (14358579007).

22151336162 is an equidigital number, since it uses as much as digits as its factorization.

22151336162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 241 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

Multiplying 22151336162 by its sum of digits (32), we get a square (708842757184 = 8419282).

The spelling of 22151336162 in words is "twenty-two billion, one hundred fifty-one million, three hundred thirty-six thousand, one hundred sixty-two".

Divisors: 1 2 19 29 38 58 191 361 382 551 722 841 1102 1682 3629 5539 7258 10469 11078 15979 20938 31958 36481 68951 72962 105241 137902 160631 210482 303601 321262 607202 693139 1057949 1386278 1999579 2115898 3051989 3999158 6103978 13169641 20101031 26339282 30680521 40202062 57987791 61361042 115975582 381919589 582929899 763839178 1165859798 11075668081 22151336162