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228658882816 = 2871316360217
BaseRepresentation
bin1101010011110100100…
…0011010100100000000
3210212012122000202221201
43110331020122210000
512221243133222231
6253013333230544
722343244302140
oct3247510324400
9725178022851
10228658882816
1188a78a84021
1238395492454
13187408b10c0
14b0d2384920
155e3448a161
hex353d21a900

228658882816 has 144 divisors (see below), whose sum is σ = 565209038464. Its totient is φ = 89902006272.

The previous prime is 228658882807. The next prime is 228658882819. The reversal of 228658882816 is 618288856822.

It is a super-2 number, since 2×2286588828162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (228658882819) 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, 3767140 + ... + 3827356.

Almost surely, 2228658882816 is an apocalyptic number.

228658882816 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 228658882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282604519232).

228658882816 is an abundant number, since it is smaller than the sum of its proper divisors (336550155648).

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

228658882816 is a wasteful number, since it uses less digits than its factorization.

228658882816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60416 (or 60402 counting only the distinct ones).

The product of its digits is 47185920, while the sum is 64.

The spelling of 228658882816 in words is "two hundred twenty-eight billion, six hundred fifty-eight million, eight hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 163 182 208 224 256 326 364 416 448 652 728 832 896 1141 1304 1456 1664 1792 2119 2282 2608 2912 3328 4238 4564 5216 5824 8476 9128 10432 11648 14833 16952 18256 20864 23296 29666 33904 36512 41728 59332 60217 67808 73024 118664 120434 135616 146048 237328 240868 271232 292096 421519 474656 481736 542464 782821 843038 949312 963472 1565642 1686076 1898624 1926944 3131284 3372152 3797248 3853888 5479747 6262568 6744304 7707776 9815371 10959494 12525136 13488608 15415552 19630742 21918988 25050272 26977216 39261484 43837976 50100544 53954432 68707597 78522968 87675952 100201088 107908864 127599823 137415194 157045936 175351904 200402176 255199646 274830388 314091872 350703808 510399292 549660776 628183744 701407616 893198761 1020798584 1099321552 1256367488 1402815232 1786397522 2041597168 2198643104 2512734976 3572795044 4083194336 4397286208 7145590088 8166388672 8794572416 14291180176 16332777344 17589144832 28582360352 32665554688 57164720704 114329441408 228658882816