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2261465604 = 2232371697797
BaseRepresentation
bin1000011011001011…
…0011101000000100
312211121100100121100
42012302303220010
514112413344404
61012223020100
7110020066116
oct20662635004
95747310540
102261465604
11a605a1642
1253143a630
132a06a2738
141764bb3b6
15d380dd39
hex86cb3a04

2261465604 has 36 divisors (see below), whose sum is σ = 5870985484. Its totient is φ = 733447872.

The previous prime is 2261465603. The next prime is 2261465611. The reversal of 2261465604 is 4065641622.

2261465604 is a `hidden beast` number, since 2 + 2 + 6 + 1 + 46 + 5 + 604 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 936360000 + 1325105604 = 30600^2 + 36402^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×22614656042 = 10228453356150169632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2261465603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847567 + ... + 850230.

Almost surely, 22261465604 is an apocalyptic number.

It is an amenable number.

2261465604 is an abundant number, since it is smaller than the sum of its proper divisors (3609519880).

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

2261465604 is a wasteful number, since it uses less digits than its factorization.

2261465604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697844 (or 1697839 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2261465604 is about 47554.8694036689. The cubic root of 2261465604 is about 1312.5927331486.

The spelling of 2261465604 in words is "two billion, two hundred sixty-one million, four hundred sixty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1697797 3395594 5093391 6791188 10186782 15280173 20373564 30560346 61120692 62818489 125636978 188455467 251273956 376910934 565366401 753821868 1130732802 2261465604