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229033632 = 25323472207
BaseRepresentation
bin11011010011011…
…00011010100000
3120221222010002010
431221230122200
5432113034012
634420552520
75450516352
oct1551543240
9527863063
10229033632
111083133a3
1264852740
13385b1479
14225bd0d2
1515191c3c
hexda6c6a0

229033632 has 96 divisors (see below), whose sum is σ = 640991232. Its totient is φ = 71439104.

The previous prime is 229033613. The next prime is 229033669. The reversal of 229033632 is 236330922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2290336322 = 104912809174222848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229033632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102673 + ... + 104879.

It is an arithmetic number, because the mean of its divisors is an integer number (6676992).

Almost surely, 2229033632 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 229033632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320495616).

229033632 is an abundant number, since it is smaller than the sum of its proper divisors (411957600).

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

229033632 is a wasteful number, since it uses less digits than its factorization.

229033632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 229033632 is about 15133.8571421829. The cubic root of 229033632 is about 611.8332665532.

The spelling of 229033632 in words is "two hundred twenty-nine million, thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 47 48 69 92 94 96 138 141 184 188 276 282 368 376 552 564 736 752 1081 1104 1128 1504 2162 2207 2208 2256 3243 4324 4414 4512 6486 6621 8648 8828 12972 13242 17296 17656 25944 26484 34592 35312 50761 51888 52968 70624 101522 103729 103776 105936 152283 203044 207458 211872 304566 311187 406088 414916 609132 622374 812176 829832 1218264 1244748 1624352 1659664 2385767 2436528 2489496 3319328 4771534 4873056 4978992 7157301 9543068 9957984 14314602 19086136 28629204 38172272 57258408 76344544 114516816 229033632