Search a number
-
+
23221411412232 = 23311379232084147
BaseRepresentation
bin1010100011110101001111…
…11110100111100100001000
310001012221112002100220110010
411101322213332213210020
511020424422310142412
6121215434044351520
74614456136153245
oct521724776474410
9101187462326403
1023221411412232
1174431663a7920
12273056b8455a0
13cc5a010537a7
145a3ccab605cc
152a409766633c
hex151ea7fa7908

23221411412232 has 64 divisors (see below), whose sum is σ = 63498222892800. Its totient is φ = 7018224575040.

The previous prime is 23221411412231. The next prime is 23221411412261.

23221411412232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232214114122322 (a number of 28 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23221411412232.

It is not an unprimeable number, because it can be changed into a prime (23221411412231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115942018 + ... + 116142129.

It is an arithmetic number, because the mean of its divisors is an integer number (992159732700).

Almost surely, 223221411412232 is an apocalyptic number.

23221411412232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23221411412232 is an abundant number, since it is smaller than the sum of its proper divisors (40276811480568).

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

23221411412232 is a wasteful number, since it uses less digits than its factorization.

23221411412232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232084546 (or 232084542 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2322141 and 1412232, that added together give a palindrome (3734373).

The spelling of 23221411412232 in words is "twenty-three trillion, two hundred twenty-one billion, four hundred eleven million, four hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 379 758 1137 1516 2274 3032 4169 4548 8338 9096 12507 16676 25014 33352 50028 100056 232084147 464168294 696252441 928336588 1392504882 1856673176 2552925617 2785009764 5105851234 5570019528 7658776851 10211702468 15317553702 20423404936 30635107404 61270214808 87959891713 175919783426 263879675139 351839566852 527759350278 703679133704 967558808843 1055518700556 1935117617686 2111037401112 2902676426529 3870235235372 5805352853058 7740470470744 11610705706116 23221411412232