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235268064 = 2534139653
BaseRepresentation
bin11100000010111…
…10011111100000
3121101200212010000
432001132133200
5440212034224
635202340000
75554513503
oct1601363740
9541625100
10235268064
11110891419
126695a600
1339985095
142336313a
15159c40c9
hexe05e7e0

235268064 has 120 divisors (see below), whose sum is σ = 697961880. Its totient is φ = 77739264.

The previous prime is 235268057. The next prime is 235268101. The reversal of 235268064 is 460862532.

235268064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 359962 + ... + 360614.

It is an arithmetic number, because the mean of its divisors is an integer number (5816349).

Almost surely, 2235268064 is an apocalyptic number.

235268064 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 235268064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348980940).

235268064 is an abundant number, since it is smaller than the sum of its proper divisors (462693816).

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

235268064 is a wasteful number, since it uses less digits than its factorization.

235268064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 235268064 is about 15338.4505084445. The cubic root of 235268064 is about 617.3351318883.

The spelling of 235268064 in words is "two hundred thirty-five million, two hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 139 144 162 216 278 288 324 417 432 556 648 653 834 864 1112 1251 1296 1306 1668 1959 2224 2502 2592 2612 3336 3753 3918 4448 5004 5224 5877 6672 7506 7836 10008 10448 11259 11754 13344 15012 15672 17631 20016 20896 22518 23508 30024 31344 35262 40032 45036 47016 52893 60048 62688 70524 90072 90767 94032 105786 120096 141048 180144 181534 188064 211572 272301 282096 360288 363068 423144 544602 564192 726136 816903 846288 1089204 1452272 1633806 1692576 2178408 2450709 2904544 3267612 4356816 4901418 6535224 7352127 8713632 9802836 13070448 14704254 19605672 26140896 29408508 39211344 58817016 78422688 117634032 235268064