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232233012 = 2232112812087
BaseRepresentation
bin11011101011110…
…01100000110100
3121011222122210200
431311321200310
5433422424022
635013320500
75516643114
oct1565714064
9534878720
10232233012
1110a0a9110
1265936130
13391617ab
1422bb3044
15155c4bac
hexdd79834

232233012 has 72 divisors (see below), whose sum is σ = 642987072. Its totient is φ = 70089600.

The previous prime is 232233007. The next prime is 232233013. The reversal of 232233012 is 210332232.

It is a happy number.

232233012 is a `hidden beast` number, since 2 + 322 + 330 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232233013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110233 + ... + 112319.

It is an arithmetic number, because the mean of its divisors is an integer number (8930376).

Almost surely, 2232233012 is an apocalyptic number.

232233012 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 232233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321493536).

232233012 is an abundant number, since it is smaller than the sum of its proper divisors (410754060).

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

232233012 is a wasteful number, since it uses less digits than its factorization.

232233012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 232233012 is about 15239.1932857353. The cubic root of 232233012 is about 614.6690108705.

Adding to 232233012 its reverse (210332232), we get a palindrome (442565244).

The spelling of 232233012 in words is "two hundred thirty-two million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 281 396 562 843 1124 1686 2087 2529 3091 3372 4174 5058 6182 6261 8348 9273 10116 12364 12522 18546 18783 22957 25044 27819 37092 37566 45914 55638 68871 75132 91828 111276 137742 206613 275484 413226 586447 826452 1172894 1759341 2345788 3518682 5278023 6450917 7037364 10556046 12901834 19352751 21112092 25803668 38705502 58058253 77411004 116116506 232233012