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23278026240 = 29345722979
BaseRepresentation
bin10101101011011110…
…100111111000000000
32020002021201020220000
4111223132213320000
5340133133314430
614405504520000
71452564646500
oct255336477000
966067636800
1023278026240
119965925717
124617920000
13226c865331
1411ab7c1a00
1591392ce60
hex56b7a7e00

23278026240 has 1200 divisors, whose sum is σ = 101601086400. Its totient is φ = 5072191488.

The previous prime is 23278026227. The next prime is 23278026257. The reversal of 23278026240 is 4262087232.

It is a happy number.

23278026240 is a `hidden beast` number, since 2 + 3 + 27 + 8 + 0 + 2 + 624 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23278026195 and 23278026204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 294658521 + ... + 294658599.

It is an arithmetic number, because the mean of its divisors is an integer number (84667572).

Almost surely, 223278026240 is an apocalyptic number.

23278026240 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 23278026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50800543200).

23278026240 is an abundant number, since it is smaller than the sum of its proper divisors (78323060160).

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

23278026240 is an equidigital number, since it uses as much as digits as its factorization.

23278026240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 23278026240 in words is "twenty-three billion, two hundred seventy-eight million, twenty-six thousand, two hundred forty".