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229057632 = 25381091
BaseRepresentation
bin11011010011100…
…10010001100000
3120222000100000000
431221302101200
5432114321012
634421300000
75450646336
oct1551622140
9528010000
10229057632
1110832a431
1264864600
13385bc37b
14225c7b56
1515198ddc
hexda72460

229057632 has 108 divisors (see below), whose sum is σ = 677021436. Its totient is φ = 76282560.

The previous prime is 229057579. The next prime is 229057637. The reversal of 229057632 is 236750922.

It is a tau number, because it is divible by the number of its divisors (108).

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 (229057637) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209407 + ... + 210497.

It is an arithmetic number, because the mean of its divisors is an integer number (6268717).

Almost surely, 2229057632 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 229057632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338510718).

229057632 is an abundant number, since it is smaller than the sum of its proper divisors (447963804).

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

229057632 is an frugal number, since it uses more digits than its factorization.

229057632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 229057632 is about 15134.6500455082. The cubic root of 229057632 is about 611.8546367561.

The spelling of 229057632 in words is "two hundred twenty-nine million, fifty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1091 1296 1458 1944 2182 2187 2592 2916 3273 3888 4364 4374 5832 6546 6561 7776 8728 8748 9819 11664 13092 13122 17456 17496 19638 23328 26184 26244 29457 34912 34992 39276 52368 52488 58914 69984 78552 88371 104736 104976 117828 157104 176742 209952 235656 265113 314208 353484 471312 530226 706968 795339 942624 1060452 1413936 1590678 2120904 2386017 2827872 3181356 4241808 4772034 6362712 7158051 8483616 9544068 12725424 14316102 19088136 25450848 28632204 38176272 57264408 76352544 114528816 229057632