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22135763232 = 25321127972
BaseRepresentation
bin10100100111011001…
…001111000100100000
32010010200100021121200
4110213121033010200
5330313223410412
614100302121200
71412354611602
oct244731170440
963120307550
1022135763232
11942a074600
124359280200
13211a007a6b
1410ddc01172
158984e99dc
hex52764f120

22135763232 has 162 divisors, whose sum is σ = 69278334489. Its totient is φ = 6699390720.

The previous prime is 22135763231. The next prime is 22135763333. The reversal of 22135763232 is 23236753122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22135763232 is a `hidden beast` number, since 2 + 2 + 13 + 5 + 7 + 632 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22130727696 + 5035536 = 148764^2 + 2244^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105204.

It is a super-3 number, since 3×221357632323 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22135763231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27773458 + ... + 27774254.

Almost surely, 222135763232 is an apocalyptic number.

22135763232 is a gapful number since it is divisible by the number (22) 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 22135763232

22135763232 is an abundant number, since it is smaller than the sum of its proper divisors (47142571257).

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

22135763232 is an equidigital number, since it uses as much as digits as its factorization.

22135763232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 813 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The spelling of 22135763232 in words is "twenty-two billion, one hundred thirty-five million, seven hundred sixty-three thousand, two hundred thirty-two".