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229956272 = 24713212149
BaseRepresentation
bin11011011010011…
…01101010110000
3121000200222200222
431231031222300
5432332100042
634452432212
75461411310
oct1555155260
9530628628
10229956272
11108893607
1265018668
1338845400
142277d440
15152c52d2
hexdb4dab0

229956272 has 60 divisors (see below), whose sum is σ = 551415600. Its totient is φ = 90964224.

The previous prime is 229956269. The next prime is 229956313. The reversal of 229956272 is 272659922.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12854 + ... + 25002.

It is an arithmetic number, because the mean of its divisors is an integer number (9190260).

Almost surely, 2229956272 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 229956272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275707800).

229956272 is an abundant number, since it is smaller than the sum of its proper divisors (321459328).

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

229956272 is a wasteful number, since it uses less digits than its factorization.

229956272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12190 (or 12171 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 229956272 is about 15164.3091501064. The cubic root of 229956272 is about 612.6537363364.

The spelling of 229956272 in words is "two hundred twenty-nine million, nine hundred fifty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2366 2704 4732 9464 12149 18928 24298 48596 85043 97192 157937 170086 194384 315874 340172 631748 680344 1105559 1263496 1360688 2053181 2211118 2526992 4106362 4422236 8212724 8844472 14372267 16425448 17688944 28744534 32850896 57489068 114978136 229956272