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229715616 = 25313214159
BaseRepresentation
bin11011011000100…
…10111010100000
3121000020202120210
431230102322200
5432301344431
634443334120
75456356554
oct1554227240
9530222523
10229715616
11108739819
1264b21340
133878ca00
1422719864
1515278d46
hexdb12ea0

229715616 has 72 divisors (see below), whose sum is σ = 653002560. Its totient is φ = 70676736.

The previous prime is 229715609. The next prime is 229715617. The reversal of 229715616 is 616517922.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (229715617) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9145 + ... + 23303.

It is an arithmetic number, because the mean of its divisors is an integer number (9069480).

Almost surely, 2229715616 is an apocalyptic number.

229715616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229715616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326501280).

229715616 is an abundant number, since it is smaller than the sum of its proper divisors (423286944).

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

229715616 is a wasteful number, since it uses less digits than its factorization.

229715616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14198 (or 14177 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 229715616 is about 15156.3721252812. The cubic root of 229715616 is about 612.4399416886.

The spelling of 229715616 in words is "two hundred twenty-nine million, seven hundred fifteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 14159 16224 28318 42477 56636 84954 113272 169908 184067 226544 339816 368134 453088 552201 679632 736268 1104402 1359264 1472536 2208804 2392871 2945072 4417608 4785742 5890144 7178613 8835216 9571484 14357226 17670432 19142968 28714452 38285936 57428904 76571872 114857808 229715616