Search a number
-
+
222102100002112 = 2611228680539773
BaseRepresentation
bin110010100000000000101100…
…110001100100010101000000
31002010101202100020002220202221
4302200000230301210111000
5213102410100100031422
62104212143550020424
764532230041466231
oct6240005461442500
91063352306086687
10222102100002112
116484aa76296a00
1220ab0a5baa7714
1396c11a47054c5
143cbbb2863d088
151aa25ba6a53c7
hexca002cc64540

222102100002112 has 42 divisors (see below), whose sum is σ = 484442997322634. Its totient is φ = 100955499997440.

The previous prime is 222102100002059. The next prime is 222102100002127. The reversal of 222102100002112 is 211200001201222.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 222048860900416 + 53239101696 = 14901304^2 + 230736^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14340262143 + ... + 14340277630.

Almost surely, 2222102100002112 is an apocalyptic number.

222102100002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

222102100002112 is an abundant number, since it is smaller than the sum of its proper divisors (262340897320522).

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

222102100002112 is a wasteful number, since it uses less digits than its factorization.

222102100002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28680539807 (or 28680539786 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222102100002112 its reverse (211200001201222), we get a palindrome (433302101203334).

The spelling of 222102100002112 in words is "two hundred twenty-two trillion, one hundred two billion, one hundred million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 28680539773 57361079546 114722159092 229444318184 315485937503 458888636368 630971875006 917777272736 1261943750012 1835554545472 2523887500024 3470345312533 5047775000048 6940690625066 10095550000096 13881381250132 20191100000192 27762762500264 55525525000528 111051050001056 222102100002112