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229484016 = 24341131567
BaseRepresentation
bin11011010110110…
…10010111110000
3120222210222220000
431223122113300
5432221442031
634434350000
75454403416
oct1553322760
9528728800
10229484016
111085a0813
1264a2b300
133870b478
14226992b6
15152303e6
hexdada5f0

229484016 has 100 divisors (see below), whose sum is σ = 670498752. Its totient is φ = 75769344.

The previous prime is 229483967. The next prime is 229484023. The reversal of 229484016 is 610484922.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 145665 + ... + 147231.

Almost surely, 2229484016 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 229484016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335249376).

229484016 is an abundant number, since it is smaller than the sum of its proper divisors (441014736).

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

229484016 is a wasteful number, since it uses less digits than its factorization.

229484016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1685 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 229484016 is about 15148.7298477463. The cubic root of 229484016 is about 612.2340511940.

The spelling of 229484016 in words is "two hundred twenty-nine million, four hundred eighty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 113 144 162 216 226 324 339 432 452 648 678 904 1017 1296 1356 1567 1808 2034 2712 3051 3134 4068 4701 5424 6102 6268 8136 9153 9402 12204 12536 14103 16272 18306 18804 24408 25072 28206 36612 37608 42309 48816 56412 73224 75216 84618 112824 126927 146448 169236 177071 225648 253854 338472 354142 507708 531213 676944 708284 1015416 1062426 1416568 1593639 2030832 2124852 2833136 3187278 4249704 4780917 6374556 8499408 9561834 12749112 14342751 19123668 25498224 28685502 38247336 57371004 76494672 114742008 229484016