Search a number
-
+
222130310110110 = 2325413071447135511
BaseRepresentation
bin110010100000011010111110…
…001110100101101110011110
31002010111110011020101212220200
4302200122332032211232132
5213103340333342010420
62104233131122324330
764534246105450113
oct6240327616455636
91063443136355820
10222130310110110
1164860a3214a646
1220ab64134b96a6
1396c3a4c0092bc
143cbd24308290a
151aa31bc0c0b90
hexca06be3a5b9e

222130310110110 has 192 divisors, whose sum is σ = 593966814465024. Its totient is φ = 57561525849600.

The previous prime is 222130310110103. The next prime is 222130310110133. The reversal of 222130310110110 is 11011013031222.

222130310110110 is a `hidden beast` number, since 2 + 2 + 2 + 130 + 310 + 110 + 110 = 666.

It is a super-2 number, since 2×2221303101101102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1639137255 + ... + 1639272765.

It is an arithmetic number, because the mean of its divisors is an integer number (3093577158672).

Almost surely, 2222130310110110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222130310110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296983407232512).

222130310110110 is an abundant number, since it is smaller than the sum of its proper divisors (371836504354914).

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

222130310110110 is a wasteful number, since it uses less digits than its factorization.

222130310110110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137319 (or 137316 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 222130310110110 its reverse (11011013031222), we get a palindrome (233141323141332).

The spelling of 222130310110110 in words is "two hundred twenty-two trillion, one hundred thirty billion, three hundred ten million, one hundred ten thousand, one hundred ten".