Search a number
-
+
222123122232444 = 22326170086728679
BaseRepresentation
bin110010100000010100010001…
…110011000000110001111100
31002010110202121022010212102100
4302200110101303000301330
5213103231123242414234
62104225541553225100
764533603015502416
oct6240242163006174
91063422538125370
10222123122232444
1164858983842784
1220ab4b48262190
1396c3174b01954
143cbcb605bb9b6
151aa2deb044399
hexca0511cc0c7c

222123122232444 has 18 divisors (see below), whose sum is σ = 561477892309880. Its totient is φ = 74041040744136.

The previous prime is 222123122232443. The next prime is 222123122232463. The reversal of 222123122232444 is 444232221321222.

It is a happy number.

222123122232444 is a `hidden beast` number, since 2 + 2 + 2 + 12 + 312 + 2 + 2 + 324 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 6170086728679 = 222123122232444 / (2 + 2 + 2 + 1 + 2 + 3 + 1 + 2 + 2 + 2 + 3 + 2 + 4 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 222123122232399 and 222123122232408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222123122232443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3085043364304 + ... + 3085043364375.

Almost surely, 2222123122232444 is an apocalyptic number.

It is an amenable number.

222123122232444 is an abundant number, since it is smaller than the sum of its proper divisors (339354770077436).

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

222123122232444 is a wasteful number, since it uses less digits than its factorization.

222123122232444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6170086728689 (or 6170086728684 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 222123122232444 its reverse (444232221321222), we get a palindrome (666355343553666).

The spelling of 222123122232444 in words is "two hundred twenty-two trillion, one hundred twenty-three billion, one hundred twenty-two million, two hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6170086728679 12340173457358 18510260186037 24680346914716 37020520372074 55530780558111 74041040744148 111061561116222 222123122232444