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229712976 = 243317311009
BaseRepresentation
bin11011011000100…
…10010001010000
3121000020121222000
431230102101100
5432301303401
634443314000
75456346063
oct1554222120
9530217860
10229712976
11108737839
1264b1b900
133878b74c
14227188da
1515278186
hexdb12450

229712976 has 160 divisors (see below), whose sum is σ = 721382400. Its totient is φ = 69672960.

The previous prime is 229712963. The next prime is 229712999. The reversal of 229712976 is 679217922.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 227160 + ... + 228168.

It is an arithmetic number, because the mean of its divisors is an integer number (4508640).

Almost surely, 2229712976 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 229712976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360691200).

229712976 is an abundant number, since it is smaller than the sum of its proper divisors (491669424).

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

229712976 is a wasteful number, since it uses less digits than its factorization.

229712976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1062 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 229712976 is about 15156.2850329492. The cubic root of 229712976 is about 612.4375955302.

The spelling of 229712976 in words is "two hundred twenty-nine million, seven hundred twelve thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 48 51 54 62 68 72 93 102 108 124 136 144 153 186 204 216 248 272 279 306 372 408 432 459 496 527 558 612 744 816 837 918 1009 1054 1116 1224 1488 1581 1674 1836 2018 2108 2232 2448 3027 3162 3348 3672 4036 4216 4464 4743 6054 6324 6696 7344 8072 8432 9081 9486 12108 12648 13392 14229 16144 17153 18162 18972 24216 25296 27243 28458 31279 34306 36324 37944 48432 51459 54486 56916 62558 68612 72648 75888 93837 102918 108972 113832 125116 137224 145296 154377 187674 205836 217944 227664 250232 274448 281511 308754 375348 411672 435888 463131 500464 531743 563022 617508 750696 823344 844533 926262 1063486 1126044 1235016 1501392 1595229 1689066 1852524 2126972 2252088 2470032 3190458 3378132 3705048 4253944 4504176 4785687 6380916 6756264 7410096 8507888 9571374 12761832 13512528 14357061 19142748 25523664 28714122 38285496 57428244 76570992 114856488 229712976