Search a number
-
+
22447914060 = 2235111331372281
BaseRepresentation
bin10100111001111111…
…111111110001001100
32010221102201012001110
4110321333333301030
5331433131222220
614151252412020
71423165056405
oct247177776114
963842635043
1022447914060
11957a2980a0
124425917010
13216989b3b0
14112d4589ac
158b5b08be0
hex539fffc4c

22447914060 has 384 divisors, whose sum is σ = 78319116288. Its totient is φ = 4727808000.

The previous prime is 22447914011. The next prime is 22447914067. The reversal of 22447914060 is 6041974422.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (22447914067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9840120 + ... + 9842400.

It is an arithmetic number, because the mean of its divisors is an integer number (203956032).

Almost surely, 222447914060 is an apocalyptic number.

22447914060 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 22447914060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39159558144).

22447914060 is an abundant number, since it is smaller than the sum of its proper divisors (55871202228).

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

22447914060 is a wasteful number, since it uses less digits than its factorization.

22447914060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 22447914060 in words is "twenty-two billion, four hundred forty-seven million, nine hundred fourteen thousand, sixty".