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229527515648 = 293126832
BaseRepresentation
bin1101010111000011100…
…1111111001000000000
3210221110011111220012002
43111300321333020000
512230033021000043
6253235443123132
722403622456314
oct3256071771000
9727404456162
10229527515648
11893843317a2
12385983734a8
131884b844422
14b175897b44
155e8586cbb8
hex3570e7f200

229527515648 has 90 divisors (see below), whose sum is σ = 474572553147. Its totient is φ = 110899092480.

The previous prime is 229527515563. The next prime is 229527515713. The reversal of 229527515648 is 846515725922.

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.

It can be written as a sum of positive squares in only one way, i.e., 114763757824 + 114763757824 = 338768^2 + 338768^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338768.

It is a super-3 number, since 3×2295275156483 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 229527515593 and 229527515602.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 336057515 + ... + 336058197.

Almost surely, 2229527515648 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 229527515648

229527515648 is an abundant number, since it is smaller than the sum of its proper divisors (245045037499).

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

229527515648 is an frugal number, since it uses more digits than its factorization.

229527515648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 716 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 56.

The spelling of 229527515648 in words is "two hundred twenty-nine billion, five hundred twenty-seven million, five hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 683 961 992 1366 1922 1984 2732 3844 3968 5464 7688 7936 10928 15376 15872 21173 21856 30752 42346 43712 61504 84692 87424 123008 169384 174848 246016 338768 349696 466489 492032 656363 677536 932978 1312726 1355072 1865956 2625452 2710144 3731912 5250904 5420288 7463824 10501808 10840576 14461159 14927648 21003616 28922318 29855296 42007232 57844636 59710592 84014464 115689272 119421184 168028928 231378544 238842368 336057856 448295929 462757088 896591858 925514176 1793183716 1851028352 3586367432 3702056704 7172734864 7404113408 14345469728 28690939456 57381878912 114763757824 229527515648