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22145241024 = 263312815533
BaseRepresentation
bin10100100111111101…
…011000111111000000
32010011100011210201000
4110213331120333000
5330323140203044
614101241212000
71412531304624
oct244775307700
963140153630
1022145241024
119434458395
124360491000
13211bc75a1a
14110118b184
1589926cd69
hex527f58fc0

22145241024 has 56 divisors (see below), whose sum is σ = 65102912720. Its totient is φ = 7381746432.

The previous prime is 22145241017. The next prime is 22145241043. The reversal of 22145241024 is 42014254122.

It is a happy number.

22145241024 is a `hidden beast` number, since 22 + 14 + 524 + 102 + 4 = 666.

It is a super-2 number, since 2×221452410242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6406039 + ... + 6409494.

Almost surely, 222145241024 is an apocalyptic number.

22145241024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22145241024 is an abundant number, since it is smaller than the sum of its proper divisors (42957671696).

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

22145241024 is a wasteful number, since it uses less digits than its factorization.

22145241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12815554 (or 12815538 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 22145241024 its reverse (42014254122), we get a palindrome (64159495146).

It can be divided in two parts, 22145 and 241024, that added together give a square (263169 = 5132).

The spelling of 22145241024 in words is "twenty-two billion, one hundred forty-five million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 12815533 25631066 38446599 51262132 76893198 102524264 115339797 153786396 205048528 230679594 307572792 346019391 410097056 461359188 615145584 692038782 820194112 922718376 1230291168 1384077564 1845436752 2460582336 2768155128 3690873504 5536310256 7381747008 11072620512 22145241024