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224242348050 = 234527210632
BaseRepresentation
bin1101000011010111100…
…0101011000000010010
3210102210211112120020000
43100311320223000102
512133222020114200
6251003203430430
722125635336400
oct3206570530022
9712724476200
10224242348050
1187111a61096
1237562385416
13181b88ac016
14abd39a4470
155c76887300
hex3435e2b012

224242348050 has 270 divisors, whose sum is σ = 725468317893. Its totient is φ = 51207176160.

The previous prime is 224242348049. The next prime is 224242348067. The reversal of 224242348050 is 50843242422.

224242348050 is a `hidden beast` number, since 2 + 24 + 242 + 348 + 0 + 50 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 219757501089 + 4484846961 = 468783^2 + 66969^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334845.

It is a junction number, because it is equal to n+sod(n) for n = 224242347996 and 224242348014.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 210951819 + ... + 210952881.

Almost surely, 2224242348050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224242348050

224242348050 is an abundant number, since it is smaller than the sum of its proper divisors (501225969843).

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

224242348050 is an equidigital number, since it uses as much as digits as its factorization.

224242348050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 224242348050 in words is "two hundred twenty-four billion, two hundred forty-two million, three hundred forty-eight thousand, fifty".