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2299394304 = 2838372
BaseRepresentation
bin1000100100001101…
…1111100100000000
312221020201100000000
42021003133210000
514202121104204
61020100000000
7110660346324
oct21103374400
95836640000
102299394304
11a7aa47a79
12542090000
132a84c255c
1417b551984
15d6d02039
hex890df900

2299394304 has 243 divisors, whose sum is σ = 7075452657. Its totient is φ = 745749504.

The previous prime is 2299394297. The next prime is 2299394359. The reversal of 2299394304 is 4034939922.

It is a happy number.

The square root of 2299394304 is 47952.

It is a perfect power (a square), and thus also a powerful number.

2299394304 is a `hidden beast` number, since 229 + 9 + 394 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2057529600 + 241864704 = 45360^2 + 15552^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 2299394304.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 62145774 + ... + 62145810.

Almost surely, 22299394304 is an apocalyptic number.

2299394304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2299394304 is the 47952-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2299394304

2299394304 is an abundant number, since it is smaller than the sum of its proper divisors (4776058353).

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

2299394304 is an frugal number, since it uses more digits than its factorization.

2299394304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The cubic root of 2299394304 is about 1319.8902388072.

Multiplying 2299394304 by its product of nonzero digits (419904), we get a square (965524865826816 = 310728962).

2299394304 divided by its product of nonzero digits (419904) gives a square (5476 = 742).

The spelling of 2299394304 in words is "two billion, two hundred ninety-nine million, three hundred ninety-four thousand, three hundred four".