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232121032 = 231113331613
BaseRepresentation
bin11011101010111…
…10001011001000
3121011202222012021
431311132023020
5433410333112
635011054224
75515665463
oct1565361310
9534688167
10232121032
1110a031a70
12658a1374
1339122830
1422b842da
15155a1907
hexdd5e2c8

232121032 has 64 divisors (see below), whose sum is σ = 513696960. Its totient is φ = 96940800.

The previous prime is 232121027. The next prime is 232121047. The reversal of 232121032 is 230121232.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 232120997 and 232121015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378358 + ... + 378970.

It is an arithmetic number, because the mean of its divisors is an integer number (8026515).

Almost surely, 2232121032 is an apocalyptic number.

232121032 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 232121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256848480).

232121032 is an abundant number, since it is smaller than the sum of its proper divisors (281575928).

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

232121032 is a wasteful number, since it uses less digits than its factorization.

232121032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 232121032 is about 15235.5187637310. The cubic root of 232121032 is about 614.5701996215.

Adding to 232121032 its reverse (230121232), we get a palindrome (462242264).

The spelling of 232121032 in words is "two hundred thirty-two million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 286 331 572 613 662 1144 1226 1324 2452 2648 3641 4303 4904 6743 7282 7969 8606 13486 14564 15938 17212 26972 29128 31876 34424 47333 53944 63752 87659 94666 175318 189332 202903 350636 378664 405806 701272 811612 1623224 2231933 2637739 4463866 5275478 8927732 10550956 17855464 21101912 29015129 58030258 116060516 232121032