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232132212 = 22321317163179
BaseRepresentation
bin11011101011000…
…00111001110100
3121011210112112100
431311200321310
5433411212322
635011222100
75516043204
oct1565407164
9534715470
10232132212
1110a03a404
12658a7930
1339127950
1422b88404
15155a4dac
hexdd60e74

232132212 has 144 divisors (see below), whose sum is σ = 676952640. Its totient is φ = 66438144.

The previous prime is 232132183. The next prime is 232132213. The reversal of 232132212 is 212231232.

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

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 (232132213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1296739 + ... + 1296917.

It is an arithmetic number, because the mean of its divisors is an integer number (4701060).

Almost surely, 2232132212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232132212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338476320).

232132212 is an abundant number, since it is smaller than the sum of its proper divisors (444820428).

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

232132212 is a wasteful number, since it uses less digits than its factorization.

232132212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 377 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 232132212 is about 15235.8856651000. The cubic root of 232132212 is about 614.5800662910.

Adding to 232132212 its reverse (212231232), we get a palindrome (444363444).

It can be divided in two parts, 23213 and 2212, that added together give a triangular number (25425 = T225).

The spelling of 232132212 in words is "two hundred thirty-two million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 163 179 204 221 234 306 326 358 442 468 489 537 612 652 663 716 884 978 1074 1326 1467 1611 1956 1989 2119 2148 2327 2652 2771 2934 3043 3222 3978 4238 4654 5542 5868 6086 6357 6444 6981 7956 8313 8476 9129 9308 11084 12172 12714 13962 16626 18258 19071 20943 24939 25428 27387 27924 29177 33252 36023 36516 38142 39559 41886 49878 54774 58354 72046 76284 79118 83772 87531 99756 108069 109548 116708 118677 144092 158236 175062 216138 237354 262593 324207 350124 356031 379301 432276 474708 496009 525186 648414 712062 758602 992018 1050372 1137903 1296828 1424124 1488027 1517204 1984036 2275806 2976054 3413709 4464081 4551612 5952108 6448117 6827418 8928162 12896234 13654836 17856324 19344351 25792468 38688702 58033053 77377404 116066106 232132212