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229028664 = 23323439649
BaseRepresentation
bin11011010011010…
…11001100111000
3120221221212021010
431221223030320
5432112404124
634420513520
75450466024
oct1551531470
9527855233
10229028664
1110830a697
126484b8a0
13385ac127
14225bb384
1515190529
hexda6b338

229028664 has 64 divisors (see below), whose sum is σ = 611424000. Its totient is φ = 71318016.

The previous prime is 229028647. The next prime is 229028669. The reversal of 229028664 is 466820922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229028669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18912 + ... + 28560.

It is an arithmetic number, because the mean of its divisors is an integer number (9553500).

Almost surely, 2229028664 is an apocalyptic number.

229028664 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 229028664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305712000).

229028664 is an abundant number, since it is smaller than the sum of its proper divisors (382395336).

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

229028664 is a wasteful number, since it uses less digits than its factorization.

229028664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9724 (or 9720 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 229028664 is about 15133.6930060048. The cubic root of 229028664 is about 611.8288427348.

The spelling of 229028664 in words is "two hundred twenty-nine million, twenty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 184 258 276 344 516 552 989 1032 1978 2967 3956 5934 7912 9649 11868 19298 23736 28947 38596 57894 77192 115788 221927 231576 414907 443854 665781 829814 887708 1244721 1331562 1659628 1775416 2489442 2663124 3319256 4978884 5326248 9542861 9957768 19085722 28628583 38171444 57257166 76342888 114514332 229028664