Search a number
-
+
22057475022 = 232112195389113
BaseRepresentation
bin10100100010101110…
…100101101111001110
32002221020000211101100
4110202232211233032
5330133203200042
614044424123530
71410414305232
oct244256455716
962836024340
1022057475022
119399962500
1243370065a6
132106a2688b
1410d36625c2
158916d324c
hex522ba5bce

22057475022 has 288 divisors, whose sum is σ = 57476109600. Its totient is φ = 6088642560.

The previous prime is 22057475021. The next prime is 22057475039.

22057475022 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22057475021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 195198838 + ... + 195198950.

It is an arithmetic number, because the mean of its divisors is an integer number (199569825).

Almost surely, 222057475022 is an apocalyptic number.

22057475022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22057475022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28738054800).

22057475022 is an abundant number, since it is smaller than the sum of its proper divisors (35418634578).

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

22057475022 is a wasteful number, since it uses less digits than its factorization.

22057475022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 22057475022 in words is "twenty-two billion, fifty-seven million, four hundred seventy-five thousand, twenty-two".