Search a number
-
+
230958432 = 2533318623
BaseRepresentation
bin11011100010000…
…10010101100000
3121002120220102000
431301002111200
5433111132212
634530124000
75503054125
oct1561022540
9532526360
10230958432
11109408541
1265420600
1338b065c3
142296074c
15154221dc
hexdc42560

230958432 has 96 divisors (see below), whose sum is σ = 695439360. Its totient is φ = 74494080.

The previous prime is 230958419. The next prime is 230958437. The reversal of 230958432 is 234859032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230958437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22473 + ... + 31095.

It is an arithmetic number, because the mean of its divisors is an integer number (7244160).

Almost surely, 2230958432 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 230958432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347719680).

230958432 is an abundant number, since it is smaller than the sum of its proper divisors (464480928).

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

230958432 is a wasteful number, since it uses less digits than its factorization.

230958432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8673 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 230958432 is about 15197.3166052432. The cubic root of 230958432 is about 613.5424376285.

The spelling of 230958432 in words is "two hundred thirty million, nine hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8623 8928 13392 17246 25869 26784 34492 51738 68984 77607 103476 137968 155214 206952 232821 267313 275936 310428 413904 465642 534626 620856 801939 827808 931284 1069252 1241712 1603878 1862568 2138504 2405817 2483424 3207756 3725136 4277008 4811634 6415512 7217451 7450272 8554016 9623268 12831024 14434902 19246536 25662048 28869804 38493072 57739608 76986144 115479216 230958432