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229495032 = 2337131009
BaseRepresentation
bin11011010110111…
…01000011111000
3120222211120000000
431223131003320
5432222320112
634434513000
75454450504
oct1553350370
9528746000
10229495032
111085a9018
1264a35760
13387134a0
142269d304
15152337dc
hexdadd0f8

229495032 has 128 divisors (see below), whose sum is σ = 695688000. Its totient is φ = 70543872.

The previous prime is 229494973. The next prime is 229495037. The reversal of 229495032 is 230594922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229495037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226944 + ... + 227952.

Almost surely, 2229495032 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 229495032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347844000).

229495032 is an abundant number, since it is smaller than the sum of its proper divisors (466192968).

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

229495032 is a wasteful number, since it uses less digits than its factorization.

229495032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 229495032 is about 15149.0934382226. The cubic root of 229495032 is about 612.2438474643.

The spelling of 229495032 in words is "two hundred twenty-nine million, four hundred ninety-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1009 1053 1404 1458 1944 2018 2106 2187 2808 2916 3027 3159 4036 4212 4374 5832 6054 6318 8072 8424 8748 9081 9477 12108 12636 13117 17496 18162 18954 24216 25272 26234 27243 28431 36324 37908 39351 52468 54486 56862 72648 75816 78702 81729 104936 108972 113724 118053 157404 163458 217944 227448 236106 245187 314808 326916 354159 472212 490374 653832 708318 735561 944424 980748 1062477 1416636 1471122 1961496 2124954 2206683 2833272 2942244 3187431 4249908 4413366 5884488 6374862 8499816 8826732 9562293 12749724 17653464 19124586 25499448 28686879 38249172 57373758 76498344 114747516 229495032