Search a number
-
+
22723706880 = 214325721737
BaseRepresentation
bin10101001010011100…
…000100000000000000
32011122122122220200100
4111022130010000000
5333014232110010
614234503522400
71433054215200
oct251234040000
964578586610
1022723706880
119700a38346
1244a2159400
1321b1a71b04
141157d2a400
158cee352c0
hex54a704000

22723706880 has 1080 divisors, whose sum is σ = 99646544088. Its totient is φ = 4756340736.

The previous prime is 22723706851. The next prime is 22723706881. The reversal of 22723706880 is 8860732722.

22723706880 is a `hidden beast` number, since 2 + 272 + 370 + 6 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9364045824 + 13359661056 = 96768^2 + 115584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22723706881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 614154222 + ... + 614154258.

Almost surely, 222723706880 is an apocalyptic number.

22723706880 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 22723706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49823272044).

22723706880 is an abundant number, since it is smaller than the sum of its proper divisors (76922837208).

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

22723706880 is a wasteful number, since it uses less digits than its factorization.

22723706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 22723706880 in words is "twenty-two billion, seven hundred twenty-three million, seven hundred six thousand, eight hundred eighty".