Search a number
-
+
22948558080 = 283572121963
BaseRepresentation
bin10101010111110101…
…110011010100000000
32012020022202112112120
4111113311303110000
5333444312324310
614313055124240
71441454345100
oct252765632400
965208675476
1022948558080
119806954388
124545513680
13221951a666
141179b3b200
158e4a4cb70
hex557d73500

22948558080 has 216 divisors, whose sum is σ = 85258690272. Its totient is φ = 5245341696.

The previous prime is 22948557967. The next prime is 22948558091. The reversal of 22948558080 is 8085584922.

It is a super-2 number, since 2×229485580802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127179 + ... + 249141.

Almost surely, 222948558080 is an apocalyptic number.

22948558080 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 22948558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42629345136).

22948558080 is an abundant number, since it is smaller than the sum of its proper divisors (62310132192).

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

22948558080 is a wasteful number, since it uses less digits than its factorization.

22948558080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122001 (or 121980 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The spelling of 22948558080 in words is "twenty-two billion, nine hundred forty-eight million, five hundred fifty-eight thousand, eighty".