Search a number
-
+
221112011220198 = 23722359670982609
BaseRepresentation
bin110010010001100110100110…
…111000100110010011100110
31001222220002202020101112112020
4302101212212320212103212
5212440144344333021243
62102133242231204010
764400546522631600
oct6221464670462346
91058802666345466
10221112011220198
11644a9093a5693a
1220970ba5216606
13964ba08910767
143c85c42648170
151a8696e111283
hexc919a6e264e6

221112011220198 has 192 divisors, whose sum is σ = 545976230976000. Its totient is φ = 59394348389376.

The previous prime is 221112011220197. The next prime is 221112011220203. The reversal of 221112011220198 is 891022110211122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221112011220197) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2676567918 + ... + 2676650526.

It is an arithmetic number, because the mean of its divisors is an integer number (2843626203000).

Almost surely, 2221112011220198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221112011220198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272988115488000).

221112011220198 is an abundant number, since it is smaller than the sum of its proper divisors (324864219755802).

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

221112011220198 is a wasteful number, since it uses less digits than its factorization.

221112011220198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89419 (or 89412 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 221112011220198 in words is "two hundred twenty-one trillion, one hundred twelve billion, eleven million, two hundred twenty thousand, one hundred ninety-eight".