Search a number
-
+
222013132103040 = 273597212289493
BaseRepresentation
bin110010011110101101110101…
…110111111101110110000000
31002010002020200220022100221220
4302132231311313331312000
5213044430343304244130
62104103231435115040
764522630244022255
oct6236556567756600
91063066626270856
10222013132103040
1164816271224593
1220a977708a2a80
1396b599667c745
143cb76c884742c
151aa010ec4b410
hexc9eb75dfdd80

222013132103040 has 192 divisors, whose sum is σ = 715037663082960. Its totient is φ = 58593151746048.

The previous prime is 222013132103029. The next prime is 222013132103051. The reversal of 222013132103040 is 40301231310222.

It is an interprime number because it is at equal distance from previous prime (222013132103029) and next prime (222013132103051).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 222013132103040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11920534 + ... + 24210026.

Almost surely, 2222013132103040 is an apocalyptic number.

222013132103040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222013132103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357518831541480).

222013132103040 is an abundant number, since it is smaller than the sum of its proper divisors (493024530979920).

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

222013132103040 is an equidigital number, since it uses as much as digits as its factorization.

222013132103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12289709 (or 12289600 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 222013132103040 its reverse (40301231310222), we get a palindrome (262314363413262).

The spelling of 222013132103040 in words is "two hundred twenty-two trillion, thirteen billion, one hundred thirty-two million, one hundred three thousand, forty".