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235012272 = 24311716269
BaseRepresentation
bin11100000001000…
…00000010110000
3121101012212020020
432000200002300
5440130343042
635153043440
75552366655
oct1600400260
9541185206
10235012272
11110727220
1266856580
13398c5821
14232d7c2c
15159733ec
hexe0200b0

235012272 has 80 divisors (see below), whose sum is σ = 671742720. Its totient is φ = 70201600.

The previous prime is 235012241. The next prime is 235012277. The reversal of 235012272 is 272210532.

It is a happy number.

235012272 is digitally balanced in base 3, 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 (24).

It is not an unprimeable number, because it can be changed into a prime (235012277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34354 + ... + 40622.

It is an arithmetic number, because the mean of its divisors is an integer number (8396784).

Almost surely, 2235012272 is an apocalyptic number.

235012272 is a gapful number since it is divisible by the number (22) 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 235012272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335871360).

235012272 is an abundant number, since it is smaller than the sum of its proper divisors (436730448).

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

235012272 is a wasteful number, since it uses less digits than its factorization.

235012272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 235012272 is about 15330.1099800360. The cubic root of 235012272 is about 617.1113210174. Note that the first 3 decimals are identical.

The spelling of 235012272 in words is "two hundred thirty-five million, twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1136 1562 1704 2343 3124 3408 4686 6248 6269 9372 12496 12538 18744 18807 25076 37488 37614 50152 68959 75228 100304 137918 150456 206877 275836 300912 413754 445099 551672 827508 890198 1103344 1335297 1655016 1780396 2670594 3310032 3560792 4896089 5341188 7121584 9792178 10682376 14688267 19584356 21364752 29376534 39168712 58753068 78337424 117506136 235012272