Search a number
-
+
22674260070 = 23357111636691
BaseRepresentation
bin10101000111011111…
…011100000001100110
32011112012121202102000
4111013133130001212
5332414102310240
614225540030130
71431614013330
oct250737340146
964465552360
1022674260070
119686035210
124489692346
1321a474b447
141151538450
158ca919430
hex5477dc066

22674260070 has 256 divisors, whose sum is σ = 75858370560. Its totient is φ = 4681929600.

The previous prime is 22674260057. The next prime is 22674260107. The reversal of 22674260070 is 7006247622.

22674260070 is a `hidden beast` number, since 2 + 2 + 6 + 7 + 42 + 600 + 7 + 0 = 666.

22674260070 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3385425 + ... + 3392115.

It is an arithmetic number, because the mean of its divisors is an integer number (296321760).

Almost surely, 222674260070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22674260070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37929185280).

22674260070 is an abundant number, since it is smaller than the sum of its proper divisors (53184110490).

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

22674260070 is a wasteful number, since it uses less digits than its factorization.

22674260070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6888 (or 6882 counting only the distinct ones).

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

The spelling of 22674260070 in words is "twenty-two billion, six hundred seventy-four million, two hundred sixty thousand, seventy".