Search a number
-
+
222057484785612 = 223472194217174569
BaseRepresentation
bin110010011111010111001001…
…100000000001011111001100
31002010020111011220201002110000
4302133113021200001133030
5213101142212101114422
62104135444503044300
764526060323425600
oct6237271140013714
91063214156632400
10222057484785612
1164833061153453
1220aa428a440690
1396b9c14438908
143cb98d5133500
151aa1358921cac
hexc9f5c98017cc

222057484785612 has 360 divisors, whose sum is σ = 710991565930800. Its totient is φ = 60091187917824.

The previous prime is 222057484785607. The next prime is 222057484785623. The reversal of 222057484785612 is 216587484750222.

222057484785612 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 5 + 7 + 4 + 8 + 4 + 7 + 8 + 5 + 612 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 222057484785612.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1271945464 + ... + 1272120032.

It is an arithmetic number, because the mean of its divisors is an integer number (1974976572030).

Almost surely, 2222057484785612 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222057484785612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355495782965400).

222057484785612 is an abundant number, since it is smaller than the sum of its proper divisors (488934081145188).

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

222057484785612 is a wasteful number, since it uses less digits than its factorization.

222057484785612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178835 (or 178817 counting only the distinct ones).

The product of its (nonzero) digits is 120422400, while the sum is 63.

The spelling of 222057484785612 in words is "two hundred twenty-two trillion, fifty-seven billion, four hundred eighty-four million, seven hundred eighty-five thousand, six hundred twelve".