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229828944 = 24329414027
BaseRepresentation
bin11011011001011…
…10100101010000
3121000110112001010
431230232211100
5432314011234
634450010520
75460341142
oct1554564520
9530415033
10229828944
11108806984
1264b76a40
13387cc477
1422748c92
151529c6e9
hexdb2e950

229828944 has 80 divisors (see below), whose sum is σ = 629334720. Its totient is φ = 72145920.

The previous prime is 229828891. The next prime is 229828957. The reversal of 229828944 is 449828922.

229828944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 229828893 and 229828902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55059 + ... + 59085.

It is an arithmetic number, because the mean of its divisors is an integer number (7866684).

Almost surely, 2229828944 is an apocalyptic number.

229828944 is a gapful number since it is divisible by the number (24) 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 229828944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314667360).

229828944 is an abundant number, since it is smaller than the sum of its proper divisors (399505776).

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

229828944 is a wasteful number, since it uses less digits than its factorization.

229828944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4102 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 229828944 is about 15160.1102898363. The cubic root of 229828944 is about 612.5406389251.

The spelling of 229828944 in words is "two hundred twenty-nine million, eight hundred twenty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 41 48 58 82 87 116 123 164 174 232 246 328 348 464 492 656 696 984 1189 1392 1968 2378 3567 4027 4756 7134 8054 9512 12081 14268 16108 19024 24162 28536 32216 48324 57072 64432 96648 116783 165107 193296 233566 330214 350349 467132 495321 660428 700698 934264 990642 1320856 1401396 1868528 1981284 2641712 2802792 3962568 4788103 5605584 7925136 9576206 14364309 19152412 28728618 38304824 57457236 76609648 114914472 229828944