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235104288 = 25317712029
BaseRepresentation
bin11100000001101…
…10100000100000
3121101101112110020
432000312200200
5440141314123
635155033440
75553232146
oct1600664040
9541345406
10235104288
1111078a371
126689b880
1339928683
142331d596
15159907e3
hexe036820

235104288 has 96 divisors (see below), whose sum is σ = 662981760. Its totient is φ = 72683520.

The previous prime is 235104283. The next prime is 235104313. The reversal of 235104288 is 882401532.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (235104281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114858 + ... + 116886.

It is an arithmetic number, because the mean of its divisors is an integer number (6906060).

Almost surely, 2235104288 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 235104288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331490880).

235104288 is an abundant number, since it is smaller than the sum of its proper divisors (427877472).

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

235104288 is a wasteful number, since it uses less digits than its factorization.

235104288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 235104288 is about 15333.1108389655. The cubic root of 235104288 is about 617.1918511466.

The spelling of 235104288 in words is "two hundred thirty-five million, one hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 71 96 102 136 142 204 213 272 284 408 426 544 568 816 852 1136 1207 1632 1704 2029 2272 2414 3408 3621 4058 4828 6087 6816 7242 8116 9656 12174 14484 16232 19312 24348 28968 32464 34493 38624 48696 57936 64928 68986 97392 103479 115872 137972 144059 194784 206958 275944 288118 413916 432177 551888 576236 827832 864354 1103776 1152472 1655664 1728708 2304944 2449003 3311328 3457416 4609888 4898006 6914832 7347009 9796012 13829664 14694018 19592024 29388036 39184048 58776072 78368096 117552144 235104288