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230411232 = 25321077477
BaseRepresentation
bin11011011101111…
…00101111100000
3121001120002210100
431232330233200
5432441124412
634510302400
75465314602
oct1556745740
9531502710
10230411232
11109074407
12651b7a00
133897450c
142285b172
1515364edc
hexdbbcbe0

230411232 has 72 divisors (see below), whose sum is σ = 661444056. Its totient is φ = 76075776.

The previous prime is 230411227. The next prime is 230411239. The reversal of 230411232 is 232114032.

230411232 is a `hidden beast` number, since 23 + 0 + 411 + 232 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230411239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27078 + ... + 34554.

It is an arithmetic number, because the mean of its divisors is an integer number (9186723).

Almost surely, 2230411232 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 230411232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330722028).

230411232 is an abundant number, since it is smaller than the sum of its proper divisors (431032824).

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

230411232 is a wasteful number, since it uses less digits than its factorization.

230411232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7600 (or 7589 counting only the distinct ones).

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

The square root of 230411232 is about 15179.3027507854. The cubic root of 230411232 is about 613.0575077756.

Adding to 230411232 its reverse (232114032), we get a palindrome (462525264).

The spelling of 230411232 in words is "two hundred thirty million, four hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7477 7704 10272 14954 15408 22431 29908 30816 44862 59816 67293 89724 119632 134586 179448 239264 269172 358896 538344 717792 800039 1076688 1600078 2153376 2400117 3200156 4800234 6400312 7200351 9600468 12800624 14400702 19200936 25601248 28801404 38401872 57602808 76803744 115205616 230411232