Search a number
-
+
222012143214400 = 26527211594363309
BaseRepresentation
bin110010011110101100111010…
…111011101001111101000000
31002010002011010222112121202201
4302132230322323221331000
5213044421332130330100
62104102545351522544
764522563605430100
oct6236547273517500
91063064128477681
10222012143214400
1164815903aaa950
1220a97535689454
1396b5869832c36
143cb763338d200
151aa00a301236a
hexc9eb3aee9f40

222012143214400 has 504 divisors, whose sum is σ = 704999544328800. Its totient is φ = 68025717043200.

The previous prime is 222012143214373. The next prime is 222012143214413. The reversal of 222012143214400 is 4412341210222.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48699946 + ... + 53063254.

It is an arithmetic number, because the mean of its divisors is an integer number (1398808619700).

Almost surely, 2222012143214400 is an apocalyptic number.

222012143214400 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 222012143214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352499772164400).

222012143214400 is an abundant number, since it is smaller than the sum of its proper divisors (482987401114400).

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

222012143214400 is a wasteful number, since it uses less digits than its factorization.

222012143214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4363415 (or 4363393 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 222012143214400 its reverse (4412341210222), we get a palindrome (226424484424622).

The spelling of 222012143214400 in words is "two hundred twenty-two trillion, twelve billion, one hundred forty-three million, two hundred fourteen thousand, four hundred".