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228501624 = 233131767643
BaseRepresentation
bin11011001111010…
…10100001111000
3120220222002022010
431213222201320
5431444022444
634401325520
75443142331
oct1547524170
9526862263
10228501624
11107a8a71a
12646368a0
1338456280
14224c1288
15150d92b9
hexd9ea878

228501624 has 128 divisors (see below), whose sum is σ = 662135040. Its totient is φ = 65083392.

The previous prime is 228501601. The next prime is 228501649. The reversal of 228501624 is 426105822.

It is a junction number, because it is equal to n+sod(n) for n = 228501591 and 228501600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355047 + ... + 355689.

It is an arithmetic number, because the mean of its divisors is an integer number (5172930).

Almost surely, 2228501624 is an apocalyptic number.

228501624 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 228501624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331067520).

228501624 is an abundant number, since it is smaller than the sum of its proper divisors (433633416).

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

228501624 is a wasteful number, since it uses less digits than its factorization.

228501624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 228501624 is about 15116.2701748811. The cubic root of 228501624 is about 611.3591694473.

The spelling of 228501624 in words is "two hundred twenty-eight million, five hundred one thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 67 68 78 102 104 134 136 156 201 204 221 268 312 402 408 442 536 643 663 804 871 884 1139 1286 1326 1608 1742 1768 1929 2278 2572 2613 2652 3417 3484 3858 4556 5144 5226 5304 6834 6968 7716 8359 9112 10452 10931 13668 14807 15432 16718 20904 21862 25077 27336 29614 32793 33436 43081 43724 44421 50154 59228 65586 66872 86162 87448 88842 100308 118456 129243 131172 142103 172324 177684 200616 258486 262344 284206 344648 355368 426309 516972 560053 568412 732377 852618 1033944 1120106 1136824 1464754 1680159 1705236 2197131 2240212 2929508 3360318 3410472 4394262 4480424 5859016 6720636 8788524 9520901 13441272 17577048 19041802 28562703 38083604 57125406 76167208 114250812 228501624