Search a number
-
+
2265597936 = 2432722310079
BaseRepresentation
bin1000011100001010…
…0100011111110000
312211220010022002200
42013002210133300
514114443113221
61012451343200
7110100156540
oct20702443760
95756108080
102265597936
11a62964298
125328b1b00
132a14bb5c4
14176c75320
15d3d78426
hex870a47f0

2265597936 has 120 divisors (see below), whose sum is σ = 7279534080. Its totient is φ = 644347008.

The previous prime is 2265597931. The next prime is 2265598033. The reversal of 2265597936 is 6397955622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265597931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219745 + ... + 229823.

It is an arithmetic number, because the mean of its divisors is an integer number (60662784).

Almost surely, 22265597936 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 2265597936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3639767040).

2265597936 is an abundant number, since it is smaller than the sum of its proper divisors (5013936144).

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

2265597936 is a wasteful number, since it uses less digits than its factorization.

2265597936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10323 (or 10314 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 54.

The square root of 2265597936 is about 47598.2976166165. The cubic root of 2265597936 is about 1313.3917383791.

The spelling of 2265597936 in words is "two billion, two hundred sixty-five million, five hundred ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 223 252 336 446 504 669 892 1008 1338 1561 1784 2007 2676 3122 3568 4014 4683 5352 6244 8028 9366 10079 10704 12488 14049 16056 18732 20158 24976 28098 30237 32112 37464 40316 56196 60474 70553 74928 80632 90711 112392 120948 141106 161264 181422 211659 224784 241896 282212 362844 423318 483792 564424 634977 725688 846636 1128848 1269954 1451376 1693272 2247617 2539908 3386544 4495234 5079816 6742851 8990468 10159632 13485702 15733319 17980936 20228553 26971404 31466638 35961872 40457106 47199957 53942808 62933276 80914212 94399914 107885616 125866552 141599871 161828424 188799828 251733104 283199742 323656848 377599656 566399484 755199312 1132798968 2265597936