Search a number
-
+
22997520 = 243557132
BaseRepresentation
bin101011110111…
…0101000010000
31121021101200000
41113232220100
521341410040
62140530000
7366322110
oct127565020
947241600
1022997520
1111a88417
127850900
1349c2900
1430a9040
152044130
hex15eea10

22997520 has 360 divisors, whose sum is σ = 99118656. Its totient is φ = 4852224.

The previous prime is 22997519. The next prime is 22997563. The reversal of 22997520 is 2579922.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1769034 + ... + 1769046.

Almost surely, 222997520 is an apocalyptic number.

22997520 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 22997520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49559328).

22997520 is an abundant number, since it is smaller than the sum of its proper divisors (76121136).

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

22997520 is a wasteful number, since it uses less digits than its factorization.

22997520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 22997520 is about 4795.5729584691. The cubic root of 22997520 is about 284.3764761828.

The spelling of 22997520 in words is "twenty-two million, nine hundred ninety-seven thousand, five hundred twenty".