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242261032 = 231331163461
BaseRepresentation
bin11100111000010…
…01110000101000
3121212212010122211
432130021300220
5444004323112
640012254504
76001120246
oct1634116050
9555763584
10242261032
11114828332
1269171434
133b263030
1424263796
15164060a7
hexe709c28

242261032 has 64 divisors (see below), whose sum is σ = 509160960. Its totient is φ = 107308800.

The previous prime is 242261029. The next prime is 242261057. The reversal of 242261032 is 230162242.

It is a junction number, because it is equal to n+sod(n) for n = 242260994 and 242261012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 525282 + ... + 525742.

It is an arithmetic number, because the mean of its divisors is an integer number (7955640).

Almost surely, 2242261032 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 242261032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254580480).

242261032 is an abundant number, since it is smaller than the sum of its proper divisors (266899928).

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

242261032 is a wasteful number, since it uses less digits than its factorization.

242261032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 242261032 is about 15564.7368111382. The cubic root of 242261032 is about 623.3919468524.

The spelling of 242261032 in words is "two hundred forty-two million, two hundred sixty-one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 163 248 326 403 461 652 806 922 1304 1612 1844 2119 3224 3688 4238 5053 5993 8476 10106 11986 14291 16952 20212 23972 28582 40424 47944 57164 65689 75143 114328 131378 150286 185783 262756 300572 371566 525512 601144 743132 976859 1486264 1953718 2329433 3907436 4658866 7814872 9317732 18635464 30282629 60565258 121130516 242261032