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234885664 = 25134257
BaseRepresentation
bin11100000000000…
…01001000100000
3121100222102120001
432000001020200
5440112320124
635150225344
75551331566
oct1600011040
9540872501
10234885664
11110650092
12667b5254
1339880000
14232a3a36
151594ab44
hexe001220

234885664 has 60 divisors (see below), whose sum is σ = 502915014. Its totient is φ = 107986944.

The previous prime is 234885653. The next prime is 234885671. The reversal of 234885664 is 466588432.

234885664 = T296 + T297 + ... + T1127.

234885664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 795664 + 234090000 = 892^2 + 15300^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 913824 + ... + 914080.

Almost surely, 2234885664 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 234885664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251457507).

234885664 is an abundant number, since it is smaller than the sum of its proper divisors (268029350).

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

234885664 is an frugal number, since it uses more digits than its factorization.

234885664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 272 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 46.

The square root of 234885664 is about 15325.9800339163. The cubic root of 234885664 is about 617.0004824582. Note that the first 3 decimals are identical.

The spelling of 234885664 in words is "two hundred thirty-four million, eight hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 257 338 416 514 676 1028 1352 2056 2197 2704 3341 4112 4394 5408 6682 8224 8788 13364 17576 26728 28561 35152 43433 53456 57122 70304 86866 106912 114244 173732 228488 347464 456976 564629 694928 913952 1129258 1389856 2258516 4517032 7340177 9034064 14680354 18068128 29360708 58721416 117442832 234885664