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229116528 = 243241151257
BaseRepresentation
bin11011010100000…
…00101001110000
3120222010022210100
431222000221300
5432123212103
634422432400
75451313134
oct1552005160
9528108710
10229116528
1110836a703
1264892700
1338610114
14226013c4
15151ab5a3
hexda80a70

229116528 has 120 divisors (see below), whose sum is σ = 663770016. Its totient is φ = 73728000.

The previous prime is 229116479. The next prime is 229116541. The reversal of 229116528 is 825611922.

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

It is a junction number, because it is equal to n+sod(n) for n = 229116492 and 229116501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891376 + ... + 891632.

Almost surely, 2229116528 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 229116528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331885008).

229116528 is an abundant number, since it is smaller than the sum of its proper divisors (434653488).

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

229116528 is a wasteful number, since it uses less digits than its factorization.

229116528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 229116528 is about 15136.5956542414. The cubic root of 229116528 is about 611.9070729083.

The spelling of 229116528 in words is "two hundred twenty-nine million, one hundred sixteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 151 164 246 257 302 328 369 453 492 514 604 656 738 771 906 984 1028 1208 1359 1476 1542 1812 1968 2056 2313 2416 2718 2952 3084 3624 4112 4626 5436 5904 6168 6191 7248 9252 10537 10872 12336 12382 18504 18573 21074 21744 24764 31611 37008 37146 38807 42148 49528 55719 63222 74292 77614 84296 94833 99056 111438 116421 126444 148584 155228 168592 189666 222876 232842 252888 297168 310456 349263 379332 445752 465684 505776 620912 698526 758664 891504 931368 1397052 1517328 1591087 1862736 2794104 3182174 4773261 5588208 6364348 9546522 12728696 14319783 19093044 25457392 28639566 38186088 57279132 76372176 114558264 229116528