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23074217604 = 2236292972
BaseRepresentation
bin10101011111010101…
…001001111010000100
32012120002012201000000
4111133111021322010
5334223444430404
614333344321300
71444541420304
oct253725117204
965502181000
1023074217604
119870881229
12457b613230
1322395765c9
14118c6cb604
15900ac0339
hex55f549e84

23074217604 has 189 divisors, whose sum is σ = 63354847647. Its totient is φ = 7349626368.

The previous prime is 23074217591. The next prime is 23074217609. The reversal of 23074217604 is 40671247032.

The square root of 23074217604 is 151902.

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

23074217604 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 42 + 1 + 7 + 604 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16402500 + 23057815104 = 4050^2 + 151848^2 .

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 (23074217609) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 237878484 + ... + 237878580.

Almost surely, 223074217604 is an apocalyptic number.

23074217604 is the 151902-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23074217604

23074217604 is an abundant number, since it is smaller than the sum of its proper divisors (40280630043).

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

23074217604 is an frugal number, since it uses more digits than its factorization.

23074217604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

Multiplying 23074217604 by its sum of digits (36), we get a square (830671833744 = 9114122).

23074217604 divided by its sum of digits (36) gives a square (640950489 = 253172).

The spelling of 23074217604 in words is "twenty-three billion, seventy-four million, two hundred seventeen thousand, six hundred four".