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235468064 = 251319313
BaseRepresentation
bin11100000100011…
…11010100100000
3121102002000110102
432002033110200
5440234434224
635210521532
75556305546
oct1602172440
9542060412
10235468064
11110a08707
1266a362a8
1339a25120
14233b5d96
1515a134ae
hexe08f520

235468064 has 96 divisors (see below), whose sum is σ = 543029760. Its totient is φ = 99636480.

The previous prime is 235468063. The next prime is 235468069. The reversal of 235468064 is 460864532.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (235468061) 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 15 ways as a sum of consecutive naturals, for example, 7595729 + ... + 7595759.

It is an arithmetic number, because the mean of its divisors is an integer number (5656560).

Almost surely, 2235468064 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 235468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271514880).

235468064 is an abundant number, since it is smaller than the sum of its proper divisors (307561696).

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

235468064 is an equidigital number, since it uses as much as digits as its factorization.

235468064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 235468064 is about 15344.9686868367. The cubic root of 235468064 is about 617.5100133329.

The spelling of 235468064 in words is "two hundred thirty-five million, four hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 19 26 31 32 38 52 62 76 104 124 152 208 247 248 304 403 416 494 496 589 608 806 961 988 992 1178 1612 1922 1976 2356 3224 3844 3952 4712 6448 7657 7688 7904 9424 12493 12896 15314 15376 18259 18848 24986 29791 30628 30752 36518 49972 59582 61256 73036 99944 119164 122512 146072 199888 237367 238328 245024 292144 387283 399776 474734 476656 566029 584288 774566 949468 953312 1132058 1549132 1898936 2264116 3098264 3797872 4528232 6196528 7358377 7595744 9056464 12393056 14716754 18112928 29433508 58867016 117734032 235468064