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235214304 = 25313188473
BaseRepresentation
bin11100000010100…
…01010111100000
3121101121010100220
432001101113200
5440203324204
635201243040
75554200663
oct1601212740
9541533326
10235214304
11110854a96
1266933480
1339966780
142334b6da
15159b31d9
hexe0515e0

235214304 has 48 divisors (see below), whose sum is σ = 664936272. Its totient is φ = 72373248.

The previous prime is 235214303. The next prime is 235214347. The reversal of 235214304 is 403412532.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235214303) 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 7 ways as a sum of consecutive naturals, for example, 92989 + ... + 95484.

It is an arithmetic number, because the mean of its divisors is an integer number (13852839).

Almost surely, 2235214304 is an apocalyptic number.

235214304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

235214304 is an abundant number, since it is smaller than the sum of its proper divisors (429721968).

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

235214304 is a wasteful number, since it uses less digits than its factorization.

235214304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188499 (or 188491 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 235214304 is about 15336.6979496892. The cubic root of 235214304 is about 617.2881068561.

Adding to 235214304 its reverse (403412532), we get a palindrome (638626836).

The spelling of 235214304 in words is "two hundred thirty-five million, two hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 188473 376946 565419 753892 1130838 1507784 2261676 2450149 3015568 4523352 4900298 6031136 7350447 9046704 9800596 14700894 18093408 19601192 29401788 39202384 58803576 78404768 117607152 235214304