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235044864 = 21532797
BaseRepresentation
bin11100000001010…
…00000000000000
3121101021111221100
432000220000000
5440132413424
635153454400
75552563665
oct1600500000
9541244840
10235044864
1111074975a
1266871400
1339907602
1423305a6c
151597cdc9
hexe028000

235044864 has 96 divisors (see below), whose sum is σ = 679860090. Its totient is φ = 78249984.

The previous prime is 235044853. The next prime is 235044919. The reversal of 235044864 is 468440532.

It can be written as a sum of positive squares in only one way, i.e., 201867264 + 33177600 = 14208^2 + 5760^2 .

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

It is a super-3 number, since 3×2350448643 (a number of 26 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294514 + ... + 295310.

Almost surely, 2235044864 is an apocalyptic number.

235044864 is a gapful number since it is divisible by the number (24) 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 235044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339930045).

235044864 is an abundant number, since it is smaller than the sum of its proper divisors (444815226).

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

235044864 is an frugal number, since it uses more digits than its factorization.

235044864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 235044864 is about 15331.1729492560. The cubic root of 235044864 is about 617.1398471341.

The spelling of 235044864 in words is "two hundred thirty-five million, forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 797 1024 1152 1536 1594 2048 2304 2391 3072 3188 4096 4608 4782 6144 6376 7173 8192 9216 9564 12288 12752 14346 16384 18432 19128 24576 25504 28692 32768 36864 38256 49152 51008 57384 73728 76512 98304 102016 114768 147456 153024 204032 229536 294912 306048 408064 459072 612096 816128 918144 1224192 1632256 1836288 2448384 3264512 3672576 4896768 6529024 7345152 9793536 13058048 14690304 19587072 26116096 29380608 39174144 58761216 78348288 117522432 235044864