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232741152 = 25327176791
BaseRepresentation
bin11011101111101…
…01100100100000
3121012221110211200
431313311210200
5434040204102
635032241200
75524160430
oct1567654440
9535843750
10232741152
1110a415966
1265b40200
13392abb77
1422ca62c0
151567551c
hexddf5920

232741152 has 144 divisors (see below), whose sum is σ = 801021312. Its totient is φ = 62576640.

The previous prime is 232741147. The next prime is 232741193. The reversal of 232741152 is 251147232.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30877 + ... + 37667.

It is an arithmetic number, because the mean of its divisors is an integer number (5562648).

Almost surely, 2232741152 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 232741152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400510656).

232741152 is an abundant number, since it is smaller than the sum of its proper divisors (568280160).

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

232741152 is a wasteful number, since it uses less digits than its factorization.

232741152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6820 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 232741152 is about 15255.8563181488. The cubic root of 232741152 is about 615.1169953900.

Adding to 232741152 its reverse (251147232), we get a palindrome (483888384).

The spelling of 232741152 in words is "two hundred thirty-two million, seven hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 6791 8568 11424 13582 17136 20373 27164 34272 40746 47537 54328 61119 81492 95074 108656 115447 122238 142611 162984 190148 217312 230894 244476 285222 325968 346341 380296 427833 461788 488952 570444 651936 692682 760592 808129 855666 923576 977904 1039023 1140888 1385364 1521184 1616258 1711332 1847152 1955808 2078046 2281776 2424387 2770728 3232516 3422664 3694304 4156092 4563552 4848774 5541456 6465032 6845328 7273161 8312184 9697548 11082912 12930064 13690656 14546322 16624368 19395096 25860128 29092644 33248736 38790192 58185288 77580384 116370576 232741152