Search a number
-
+
23204133140232 = 2331187894443713
BaseRepresentation
bin1010100011010101000100…
…00111001111011100001000
310001011021220221020202010010
411101222202013033130020
511020134031040441412
6121203455343151520
74613305023236352
oct521524207173410
9101137827222103
1023204133140232
1174368aa255390
1227291492a55a0
13cc41a94cc3c5
145a312c1260d2
152a38d582333c
hex151aa21cf708

23204133140232 has 32 divisors (see below), whose sum is σ = 63283999474080. Its totient is φ = 7031555496960.

The previous prime is 23204133140231. The next prime is 23204133140281.

It is a happy number.

23204133140232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232041331402322 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23204133140232.

It is not an unprimeable number, because it can be changed into a prime (23204133140231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43947221593 + ... + 43947222120.

It is an arithmetic number, because the mean of its divisors is an integer number (1977624983565).

Almost surely, 223204133140232 is an apocalyptic number.

23204133140232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23204133140232 is an abundant number, since it is smaller than the sum of its proper divisors (40079866333848).

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

23204133140232 is a wasteful number, since it uses less digits than its factorization.

23204133140232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87894443733 (or 87894443729 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 2320413 and 3140232, that added together give a palindrome (5460645).

The spelling of 23204133140232 in words is "twenty-three trillion, two hundred four billion, one hundred thirty-three million, one hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 87894443713 175788887426 263683331139 351577774852 527366662278 703155549704 966838880843 1054733324556 1933677761686 2109466649112 2900516642529 3867355523372 5801033285058 7734711046744 11602066570116 23204133140232