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229826016 = 25327114001
BaseRepresentation
bin11011011001011…
…01110111100000
3121000110101000200
431230231313200
5432313413031
634445545200
75460326460
oct1554556740
9530411020
10229826016
11108804762
1264b75200
13387cb034
1422747ba0
151529b8e6
hexdb2dde0

229826016 has 72 divisors (see below), whose sum is σ = 746941104. Its totient is φ = 65664000.

The previous prime is 229826011. The next prime is 229826027. The reversal of 229826016 is 610628922.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229826011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54985 + ... + 59016.

It is an arithmetic number, because the mean of its divisors is an integer number (10374182).

Almost surely, 2229826016 is an apocalyptic number.

It is an amenable number.

229826016 is an abundant number, since it is smaller than the sum of its proper divisors (517115088).

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

229826016 is a wasteful number, since it uses less digits than its factorization.

229826016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114024 (or 114013 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 229826016 is about 15160.0137203104. The cubic root of 229826016 is about 612.5380376766.

The spelling of 229826016 in words is "two hundred twenty-nine million, eight hundred twenty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 114001 228002 342003 456004 684006 798007 912008 1026009 1368012 1596014 1824016 2052018 2394021 2736024 3192028 3648032 4104036 4788042 5472048 6384056 7182063 8208072 9576084 10944096 12768112 14364126 16416144 19152168 25536224 28728252 32832288 38304336 57456504 76608672 114913008 229826016