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23240366304232 = 237118328310631511
BaseRepresentation
bin1010100100011000100011…
…10001110010101111101000
310001021202110002100012001011
411102030101301302233220
511021232232233213412
6121232251001433304
74616026641115120
oct522142161625750
9101252402305034
1023240366304232
1174502029a3820
12273417b79b834
13cc773205970c
145a4ba8315c80
152a48067907a7
hex152311c72be8

23240366304232 has 256 divisors, whose sum is σ = 55265427947520. Its totient is φ = 8899706131200.

The previous prime is 23240366304209. The next prime is 23240366304247.

23240366304232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232403663042322 (a number of 28 digits) contains 22 as substring.

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, 15380784357 + ... + 15380785867.

It is an arithmetic number, because the mean of its divisors is an integer number (215880577920).

Almost surely, 223240366304232 is an apocalyptic number.

23240366304232 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 23240366304232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27632713973760).

23240366304232 is an abundant number, since it is smaller than the sum of its proper divisors (32025061643288).

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

23240366304232 is a wasteful number, since it uses less digits than its factorization.

23240366304232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

It can be divided in two parts, 2324036 and 6304232, that added together give a palindrome (8628268).

The spelling of 23240366304232 in words is "twenty-three trillion, two hundred forty billion, three hundred sixty-six million, three hundred four thousand, two hundred thirty-two".