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224400042004302 = 23410113714707371
BaseRepresentation
bin110011000001011100110100…
…110010101000111101001110
31002102112102201202101200020000
4303001130310302220331032
5213403032241223114202
62113131542310105130
765160240142310223
oct6301346462507516
91072472652350200
10224400042004302
116555658368384a
122120229404b1a6
139829aaa5c5598
143d5b03cb9994a
151ae226032491c
hexcc1734ca8f4e

224400042004302 has 40 divisors (see below), whose sum is σ = 507800755155672. Its totient is φ = 74059419798000.

The previous prime is 224400042004277. The next prime is 224400042004337. The reversal of 224400042004302 is 203400240004422.

224400042004302 is a `hidden beast` number, since 2 + 24 + 4 + 0 + 0 + 0 + 4 + 200 + 430 + 2 = 666.

224400042004302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2244000420043022 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6857337324 + ... + 6857370047.

Almost surely, 2224400042004302 is an apocalyptic number.

224400042004302 is an abundant number, since it is smaller than the sum of its proper divisors (283400713151370).

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

224400042004302 is a wasteful number, since it uses less digits than its factorization.

224400042004302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13714707486 (or 13714707477 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 224400042004302 its reverse (203400240004422), we get a palindrome (427800282008724).

The spelling of 224400042004302 in words is "two hundred twenty-four trillion, four hundred billion, forty-two million, four thousand, three hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 909 1818 2727 5454 8181 16362 13714707371 27429414742 41144122113 82288244226 123432366339 246864732678 370297099017 740594198034 1110891297051 1385185444471 2221782594102 2770370888942 4155556333413 8311112666826 12466669000239 24933338000478 37400007000717 74800014001434 112200021002151 224400042004302