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2265946704 = 2433747107149
BaseRepresentation
bin1000011100001111…
…1001101001010000
312211220210000112000
42013003321221100
514120040243304
61012503034000
7110103141420
oct20703715120
95756700460
102265946704
11a6308232a
12532a3b900
132a15b1288
14176d26480
15d3de6939
hex870f9a50

2265946704 has 320 divisors, whose sum is σ = 7713792000. Its totient is φ = 623503872.

The previous prime is 2265946699. The next prime is 2265946747. The reversal of 2265946704 is 4076495622.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2265946704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15207622 + ... + 15207770.

It is an arithmetic number, because the mean of its divisors is an integer number (24105600).

Almost surely, 22265946704 is an apocalyptic number.

2265946704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265946704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856896000).

2265946704 is an abundant number, since it is smaller than the sum of its proper divisors (5447845296).

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

2265946704 is a wasteful number, since it uses less digits than its factorization.

2265946704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2265946704 is about 47601.9611360709. The cubic root of 2265946704 is about 1313.4591297874.

The spelling of 2265946704 in words is "two billion, two hundred sixty-five million, nine hundred forty-six thousand, seven hundred four".