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229865472 = 211334157
BaseRepresentation
bin11011011001101…
…11100000000000
3121000112101011000
431230313200000
5432321143342
634450452000
75460552504
oct1554674000
9530471130
10229865472
11108831371
1264b94000
1338812c95
1422758304
15152a844c
hexdb37800

229865472 has 96 divisors (see below), whose sum is σ = 681080400. Its totient is φ = 76603392.

The previous prime is 229865453. The next prime is 229865491. The reversal of 229865472 is 274568922.

229865472 is a `hidden beast` number, since 2 + 29 + 86 + 547 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (229865453) and next prime (229865491).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53218 + ... + 57374.

Almost surely, 2229865472 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 229865472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340540200).

229865472 is an abundant number, since it is smaller than the sum of its proper divisors (451214928).

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

229865472 is an equidigital number, since it uses as much as digits as its factorization.

229865472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4162 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 229865472 is about 15161.3149825469. The cubic root of 229865472 is about 612.5730887097.

The spelling of 229865472 in words is "two hundred twenty-nine million, eight hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4157 4608 6144 6912 8314 9216 12471 13824 16628 18432 24942 27648 33256 37413 49884 55296 66512 74826 99768 112239 133024 149652 199536 224478 266048 299304 399072 448956 532096 598608 798144 897912 1064192 1197216 1596288 1795824 2128384 2394432 3192576 3591648 4256768 4788864 6385152 7183296 8513536 9577728 12770304 14366592 19155456 25540608 28733184 38310912 57466368 76621824 114932736 229865472