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232013012 = 227115361233
BaseRepresentation
bin11011101010000…
…11110011010100
3121011120111000112
431311003303110
5433343404022
635004502152
75515035530
oct1565036324
9534514015
10232013012
11109a688a0
126584a958
13390b560a
1422b56bc0
151557e8e2
hexdd43cd4

232013012 has 96 divisors (see below), whose sum is σ = 526466304. Its totient is φ = 86860800.

The previous prime is 232012997. The next prime is 232013017. The reversal of 232013012 is 210310232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232013017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 995648 + ... + 995880.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2232013012 is an apocalyptic number.

232013012 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 232013012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263233152).

232013012 is an abundant number, since it is smaller than the sum of its proper divisors (294453292).

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

232013012 is a wasteful number, since it uses less digits than its factorization.

232013012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 232013012 is about 15231.9733455649. The cubic root of 232013012 is about 614.4748525622.

Adding to 232013012 its reverse (210310232), we get a palindrome (442323244).

The spelling of 232013012 in words is "two hundred thirty-two million, thirteen thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 53 61 77 106 122 154 212 233 244 308 371 427 466 583 671 742 854 932 1166 1342 1484 1631 1708 2332 2563 2684 3233 3262 4081 4697 5126 6466 6524 8162 9394 10252 12349 12932 14213 16324 17941 18788 22631 24698 28426 35563 35882 45262 49396 56852 71126 71764 86443 90524 99491 135839 142252 156343 172886 198982 248941 271678 312686 345772 397964 497882 543356 625372 753289 950873 995764 1094401 1506578 1901746 2188802 3013156 3803492 4377604 5273023 8286179 10546046 16572358 21092092 33144716 58003253 116006506 232013012