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2265349320 = 2332513539133
BaseRepresentation
bin1000011100000110…
…0111110011001000
312211212122200001200
42013001213303020
514114412134240
61012442144200
7110065102653
oct20701476310
95755580050
102265349320
11a62804523
125327b2060
132a14323b0
14176c0c89a
15d3d29930
hex87067cc8

2265349320 has 192 divisors, whose sum is σ = 8079205680. Its totient is φ = 547043328.

The previous prime is 2265349313. The next prime is 2265349367. The reversal of 2265349320 is 239435622.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1152059364 + 1113289956 = 33942^2 + 33366^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243474 + ... + 252606.

Almost surely, 22265349320 is an apocalyptic number.

2265349320 is a gapful number since it is divisible by the number (20) 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 2265349320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039602840).

2265349320 is an abundant number, since it is smaller than the sum of its proper divisors (5813856360).

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

2265349320 is a wasteful number, since it uses less digits than its factorization.

2265349320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2265349320 is about 47595.6859389588. The cubic root of 2265349320 is about 1313.3436948229.

The spelling of 2265349320 in words is "two billion, two hundred sixty-five million, three hundred forty-nine thousand, three hundred twenty".