Search a number
-
+
232132404 = 22372439181
BaseRepresentation
bin11011101011000…
…00111100110100
3121011210112210110
431311200330310
5433411214104
635011223020
75516043600
oct1565407464
9534715713
10232132404
1110a03a569
12658a7a70
1339127a6a
1422b88500
15155a4e89
hexdd60f34

232132404 has 72 divisors (see below), whose sum is σ = 644796768. Its totient is φ = 64774080.

The previous prime is 232132403. The next prime is 232132409. The reversal of 232132404 is 404231232.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232132403) 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, 20694 + ... + 29874.

Almost surely, 2232132404 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 232132404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322398384).

232132404 is an abundant number, since it is smaller than the sum of its proper divisors (412664364).

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

232132404 is a wasteful number, since it uses less digits than its factorization.

232132404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9245 (or 9236 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 232132404 is about 15235.8919660124. The cubic root of 232132404 is about 614.5802357338.

Adding to 232132404 its reverse (404231232), we get a palindrome (636363636).

The spelling of 232132404 in words is "two hundred thirty-two million, one hundred thirty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 2107 3612 4214 6321 8428 9181 12642 18362 25284 27543 36724 55086 64267 110172 128534 192801 257068 385602 394783 449869 771204 789566 899738 1184349 1349607 1579132 1799476 2368698 2699214 2763481 4737396 5398428 5526962 8290443 11053924 16580886 19344367 33161772 38688734 58033101 77377468 116066202 232132404