Search a number
-
+
22029158960 = 24517234189193
BaseRepresentation
bin10100100001000010…
…100100101000110000
32002212020202020001022
4110201002210220300
5330103431041320
614041533155012
71406621522144
oct244102445060
962766666038
1022029158960
1193849821a6
12432962ba68
132100bc1203
1410cd9b1224
1588de8d325
hex5210a4a30

22029158960 has 320 divisors, whose sum is σ = 58923728640. Its totient is φ = 7612661760.

The previous prime is 22029158953. The next prime is 22029158969. The reversal of 22029158960 is 6985192022.

It is not an unprimeable number, because it can be changed into a prime (22029158969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114140624 + ... + 114140816.

It is an arithmetic number, because the mean of its divisors is an integer number (184136652).

Almost surely, 222029158960 is an apocalyptic number.

22029158960 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 22029158960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29461864320).

22029158960 is an abundant number, since it is smaller than the sum of its proper divisors (36894569680).

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

22029158960 is a wasteful number, since it uses less digits than its factorization.

22029158960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The spelling of 22029158960 in words is "twenty-two billion, twenty-nine million, one hundred fifty-eight thousand, nine hundred sixty".