Search a number
-
+
22726164384 = 2533711341603
BaseRepresentation
bin10101001010100101…
…011011111110100000
32011122211021202202000
4111022211123332200
5333020344230014
614235032324000
71433114132010
oct251245337640
964584252660
1022726164384
119702366740
1244a2b43600
1321b2422561
1411583a9c40
158d026d509
hex54a95bfa0

22726164384 has 192 divisors, whose sum is σ = 82640839680. Its totient is φ = 5902882560.

The previous prime is 22726164379. The next prime is 22726164403. The reversal of 22726164384 is 48346162722.

It is a happy number.

22726164384 is a `hidden beast` number, since 2 + 2 + 7 + 261 + 6 + 4 + 384 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104274 + ... + 237329.

It is an arithmetic number, because the mean of its divisors is an integer number (430421040).

Almost surely, 222726164384 is an apocalyptic number.

22726164384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22726164384 is an abundant number, since it is smaller than the sum of its proper divisors (59914675296).

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

22726164384 is a wasteful number, since it uses less digits than its factorization.

22726164384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341640 (or 341626 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 22726164384 in words is "twenty-two billion, seven hundred twenty-six million, one hundred sixty-four thousand, three hundred eighty-four".