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242244144 = 24321682251
BaseRepresentation
bin11100111000001…
…01101000110000
3121212211021111100
432130011220300
5444003303034
640012044400
76001020102
oct1634055060
9555737440
10242244144
1111481667a
1269163700
133b25843c
142425b572
1516401099
hexe705a30

242244144 has 30 divisors (see below), whose sum is σ = 677947556. Its totient is φ = 80748000.

The previous prime is 242244133. The next prime is 242244161. The reversal of 242244144 is 441442242.

242244144 is a `hidden beast` number, since 24 + 224 + 414 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 840982 + ... + 841269.

Almost surely, 2242244144 is an apocalyptic number.

242244144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242244144 is an abundant number, since it is smaller than the sum of its proper divisors (435703412).

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

242244144 is a wasteful number, since it uses less digits than its factorization.

242244144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682265 (or 1682256 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 242244144 is about 15564.1942933131. The cubic root of 242244144 is about 623.3774609791.

Adding to 242244144 its reverse (441442242), we get a palindrome (683686386).

The spelling of 242244144 in words is "two hundred forty-two million, two hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1682251 3364502 5046753 6729004 10093506 13458008 15140259 20187012 26916016 30280518 40374024 60561036 80748048 121122072 242244144