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229518080 = 2851116301
BaseRepresentation
bin11011010111000…
…10101100000000
3120222212201121122
431223202230000
5432224034310
634435211412
75454604631
oct1553425400
9528781548
10229518080
11108614370
1264a46b68
1338720b1c
14226a7888
151523a555
hexdae2b00

229518080 has 72 divisors (see below), whose sum is σ = 599783184. Its totient is φ = 83456000.

The previous prime is 229518073. The next prime is 229518089. The reversal of 229518080 is 80815922.

It is a self number, because there is not a number n which added to its sum of digits gives 229518080.

It is not an unprimeable number, because it can be changed into a prime (229518089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5930 + ... + 22230.

It is an arithmetic number, because the mean of its divisors is an integer number (8330322).

Almost surely, 2229518080 is an apocalyptic number.

229518080 is a gapful number since it is divisible by the number (20) 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 229518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299891592).

229518080 is an abundant number, since it is smaller than the sum of its proper divisors (370265104).

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

229518080 is a wasteful number, since it uses less digits than its factorization.

229518080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16333 (or 16319 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 229518080 is about 15149.8541247102. The cubic root of 229518080 is about 612.2643424960.

The spelling of 229518080 in words is "two hundred twenty-nine million, five hundred eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 7040 14080 16301 32602 65204 81505 130408 163010 179311 260816 326020 358622 521632 652040 717244 896555 1043264 1304080 1434488 1793110 2086528 2608160 2868976 3586220 4173056 5216320 5737952 7172440 10432640 11475904 14344880 20865280 22951808 28689760 45903616 57379520 114759040 229518080