Search a number
-
+
22328379360 = 25325717229569
BaseRepresentation
bin10100110010111000…
…000000011111100000
32010122002210012021100
4110302320000133200
5331212031114420
614131342354400
71420214043630
oct246270003740
963562705240
1022328379360
119518873991
1243b188ba00
13214aba81c1
14111b6206c0
158aa396190
hex532e007e0

22328379360 has 576 divisors, whose sum is σ = 92768457600. Its totient is φ = 4774035456.

The previous prime is 22328379341. The next prime is 22328379413. The reversal of 22328379360 is 6397382322.

22328379360 is a `hidden beast` number, since 2 + 2 + 3 + 283 + 7 + 9 + 360 = 666.

It is a super-3 number, since 3×223283793603 (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39241156 + ... + 39241724.

It is an arithmetic number, because the mean of its divisors is an integer number (161056350).

Almost surely, 222328379360 is an apocalyptic number.

22328379360 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 22328379360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46384228800).

22328379360 is an abundant number, since it is smaller than the sum of its proper divisors (70440078240).

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

22328379360 is a wasteful number, since it uses less digits than its factorization.

22328379360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 22328379360 in words is "twenty-two billion, three hundred twenty-eight million, three hundred seventy-nine thousand, three hundred sixty".