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232113126 = 23727120393
BaseRepresentation
bin11011101010111…
…00001111100110
3121011202120100110
431311130033212
5433410110001
635010553450
75515633440
oct1565341746
9534676313
10232113126
1110a027033
1265898886
133911c05b
1422b81490
151559e3d6
hexdd5c3e6

232113126 has 32 divisors (see below), whose sum is σ = 532528128. Its totient is φ = 66070080.

The previous prime is 232113103. The next prime is 232113127. The reversal of 232113126 is 621311232.

It is a super-2 number, since 2×2321131262 = 107753006522983752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232113127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186 + ... + 21578.

It is an arithmetic number, because the mean of its divisors is an integer number (16641504).

Almost surely, 2232113126 is an apocalyptic number.

232113126 is an abundant number, since it is smaller than the sum of its proper divisors (300415002).

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

232113126 is a wasteful number, since it uses less digits than its factorization.

232113126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20676.

The product of its digits is 432, while the sum is 21.

The square root of 232113126 is about 15235.2593020270. The cubic root of 232113126 is about 614.5632221594.

Adding to 232113126 its reverse (621311232), we get a palindrome (853424358).

The spelling of 232113126 in words is "two hundred thirty-two million, one hundred thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 271 542 813 1626 1897 3794 5691 11382 20393 40786 61179 122358 142751 285502 428253 856506 5526503 11053006 16579509 33159018 38685521 77371042 116056563 232113126