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2265715764 = 22321340112073
BaseRepresentation
bin1000011100001100…
…0001010000110100
312211220100021201200
42013003001100310
514120010401024
61012454052500
7110101160214
oct20703012064
95756307650
102265715764
11a62a34874
1253294a130
132a1530120
14176ca6244
15d3d9d2c9
hex870c1434

2265715764 has 72 divisors (see below), whose sum is σ = 6183674952. Its totient is φ = 695347200.

The previous prime is 2265715759. The next prime is 2265715843. The reversal of 2265715764 is 4675175622.

2265715764 is a `hidden beast` number, since 2 + 2 + 6 + 5 + 71 + 576 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 106254864 + 2159460900 = 10308^2 + 46470^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181632 + ... + 193704.

Almost surely, 22265715764 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 2265715764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091837476).

2265715764 is an abundant number, since it is smaller than the sum of its proper divisors (3917959188).

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

2265715764 is a wasteful number, since it uses less digits than its factorization.

2265715764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12497 (or 12492 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 2265715764 is about 47599.5353338664. The cubic root of 2265715764 is about 1313.4145067083.

The spelling of 2265715764 in words is "two billion, two hundred sixty-five million, seven hundred fifteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 401 468 802 1203 1604 2406 3609 4812 5213 7218 10426 12073 14436 15639 20852 24146 31278 36219 46917 48292 62556 72438 93834 108657 144876 156949 187668 217314 313898 434628 470847 627796 941694 1412541 1883388 2825082 4841273 5650164 9682546 14523819 19365092 29047638 43571457 58095276 62936549 87142914 125873098 174285828 188809647 251746196 377619294 566428941 755238588 1132857882 2265715764