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229059220 = 225134401
BaseRepresentation
bin11011010011100…
…10101010010100
3120222000102011211
431221302222110
5432114343340
634421311204
75450654065
oct1551625224
9528012154
10229059220
11108330645
1264865504
13385c0000
14225c856c
15151995ea
hexda72a94

229059220 has 60 divisors (see below), whose sum is σ = 522407844. Its totient is φ = 84364800.

The previous prime is 229059203. The next prime is 229059263. The reversal of 229059220 is 22950922.

It is a happy number.

229059220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 212051844 + 17007376 = 14562^2 + 4124^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 571020 + ... + 571420.

Almost surely, 2229059220 is an apocalyptic number.

229059220 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 229059220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261203922).

229059220 is an abundant number, since it is smaller than the sum of its proper divisors (293348624).

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

229059220 is an equidigital number, since it uses as much as digits as its factorization.

229059220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 229059220 is about 15134.7025078130. The cubic root of 229059220 is about 611.8560506985.

The spelling of 229059220 in words is "two hundred twenty-nine million, fifty-nine thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 401 676 802 845 1604 1690 2005 2197 3380 4010 4394 5213 8020 8788 10426 10985 20852 21970 26065 28561 43940 52130 57122 67769 104260 114244 135538 142805 271076 285610 338845 571220 677690 880997 1355380 1761994 3523988 4404985 8809970 11452961 17619940 22905922 45811844 57264805 114529610 229059220