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229410994248 = 233247212012
BaseRepresentation
bin1101010110100111110…
…1011111100001001000
3210221011001020222212200
43111221331133201020
512224313203303443
6253220121440200
722401006163632
oct3255175374110
9727131228780
10229410994248
1189324586517
1238565340060
1318830667957
14b164205a52
155e7a502dd3
hex3569f5f848

229410994248 has 108 divisors (see below), whose sum is σ = 635351334345. Its totient is φ = 74780985600.

The previous prime is 229410994159. The next prime is 229410994261. The reversal of 229410994248 is 842499014922.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

229410994248 is a `hidden beast` number, since 2 + 294 + 109 + 9 + 4 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124057519524 + 105353474724 = 352218^2 + 324582^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338682.

It is a junction number, because it is equal to n+sod(n) for n = 229410994194 and 229410994203.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 191016048 + ... + 191017248.

Almost surely, 2229410994248 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 229410994248

229410994248 is an abundant number, since it is smaller than the sum of its proper divisors (405940340097).

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

229410994248 is an equidigital number, since it uses as much as digits as its factorization.

229410994248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 229410994248 in words is "two hundred twenty-nine billion, four hundred ten million, nine hundred ninety-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1201 1692 2209 2402 3384 3603 4418 4804 6627 7206 8836 9608 10809 13254 14412 17672 19881 21618 26508 28824 39762 43236 53016 56447 79524 86472 112894 159048 169341 225788 338682 451576 508023 677364 1016046 1354728 1442401 2032092 2653009 2884802 4064184 4327203 5306018 5769604 7959027 8654406 10612036 11539208 12981609 15918054 17308812 21224072 23877081 25963218 31836108 34617624 47754162 51926436 63672216 67792847 95508324 103852872 135585694 191016648 203378541 271171388 406757082 542342776 610135623 813514164 1220271246 1627028328 2440542492 3186263809 4881084984 6372527618 9558791427 12745055236 19117582854 25490110472 28676374281 38235165708 57352748562 76470331416 114705497124 229410994248