Search a number
-
+
22429370880 = 293357151307
BaseRepresentation
bin10100111000111001…
…010000101000000000
32010220010211002121000
4110320321100220000
5331413404332010
614145351132000
71422551335560
oct247071205000
963803732530
1022429370880
11956a882354
12441b674000
132165aa80b7
14112abccda0
158b41947c0
hex538e50a00

22429370880 has 640 divisors, whose sum is σ = 91954114560. Its totient is φ = 5076172800.

The previous prime is 22429370837. The next prime is 22429370891. The reversal of 22429370880 is 8807392422.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73059687 + ... + 73059993.

It is an arithmetic number, because the mean of its divisors is an integer number (143678304).

Almost surely, 222429370880 is an apocalyptic number.

22429370880 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 22429370880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45977057280).

22429370880 is an abundant number, since it is smaller than the sum of its proper divisors (69524743680).

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

22429370880 is a wasteful number, since it uses less digits than its factorization.

22429370880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 22429370880 in words is "twenty-two billion, four hundred twenty-nine million, three hundred seventy thousand, eight hundred eighty".