Search a number
-
+
22328570880 = 21032572112931
BaseRepresentation
bin10100110010111000…
…101111010000000000
32010122010010220222200
4110302320233100000
5331212103232010
614131350433200
71420215502200
oct246270572000
963563126880
1022328570880
119518994870
1243b1962800
13214ac44425
14111b670400
158aa3d2cc0
hex532e2f400

22328570880 has 1584 divisors, whose sum is σ = 104843082240. Its totient is φ = 4335206400.

The previous prime is 22328570863. The next prime is 22328570881. The reversal of 22328570880 is 8807582322.

22328570880 is a `hidden beast` number, since 223 + 285 + 70 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-3 number, since 3×223285708803 (a number of 32 digits) contains 333 as substring.

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 (22328570881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 720276465 + ... + 720276495.

Almost surely, 222328570880 is an apocalyptic number.

22328570880 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 22328570880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52421541120).

22328570880 is an abundant number, since it is smaller than the sum of its proper divisors (82514511360).

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

22328570880 is a wasteful number, since it uses less digits than its factorization.

22328570880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 22328570880 in words is "twenty-two billion, three hundred twenty-eight million, five hundred seventy thousand, eight hundred eighty".