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2253409704 = 23327131720231
BaseRepresentation
bin1000011001010000…
…0100110110101000
312211001012001222200
42012110010312220
514103333102304
61011334220200
7106561444410
oct20624046650
95731161880
102253409704
11a56a9a077
1252a7b4660
1329bb11a30
141753c1640
15d2c6be39
hex86504da8

2253409704 has 192 divisors, whose sum is σ = 7953603840. Its totient is φ = 559319040.

The previous prime is 2253409673. The next prime is 2253409729. The reversal of 2253409704 is 4079043522.

2253409704 is a `hidden beast` number, since 225 + 340 + 97 + 0 + 4 = 666.

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, 101269 + ... + 121499.

It is an arithmetic number, because the mean of its divisors is an integer number (41425020).

Almost surely, 22253409704 is an apocalyptic number.

2253409704 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 2253409704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976801920).

2253409704 is an abundant number, since it is smaller than the sum of its proper divisors (5700194136).

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

2253409704 is a wasteful number, since it uses less digits than its factorization.

2253409704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20280 (or 20273 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2253409704 is about 47470.0927321614. The cubic root of 2253409704 is about 1311.0322854224.

The spelling of 2253409704 in words is "two billion, two hundred fifty-three million, four hundred nine thousand, seven hundred four".