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230014272 = 2631279433
BaseRepresentation
bin11011011010110…
…11110101000000
3121000210221021010
431231123311000
5432340424042
634454000520
75462042355
oct1555336500
9530727233
10230014272
11108923144
1265046140
1338865927
142279662c
15152d759c
hexdb5bd40

230014272 has 56 divisors (see below), whose sum is σ = 613436416. Its totient is φ = 76059648.

The previous prime is 230014271. The next prime is 230014289. The reversal of 230014272 is 272410032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230014271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19668 + ... + 29100.

Almost surely, 2230014272 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 230014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306718208).

230014272 is an abundant number, since it is smaller than the sum of its proper divisors (383422144).

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

230014272 is a wasteful number, since it uses less digits than its factorization.

230014272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9575 (or 9565 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 230014272 is about 15166.2214147097. The cubic root of 230014272 is about 612.7052402293.

The spelling of 230014272 in words is "two hundred thirty million, fourteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 6096 8128 9433 12192 18866 24384 28299 37732 56598 75464 113196 150928 226392 301856 452784 603712 905568 1197991 1811136 2395982 3593973 4791964 7187946 9583928 14375892 19167856 28751784 38335712 57503568 76671424 115007136 230014272