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242232072 = 23343234721
BaseRepresentation
bin11100111000000…
…10101100001000
3121212210122221020
432130002230020
5444002411242
640011512440
76000636645
oct1634025410
9555718836
10242232072
111148085a5
1269158720
133b252ab4
1424256dcc
15163ec6ec
hexe702b08

242232072 has 32 divisors (see below), whose sum is σ = 619666080. Its totient is φ = 78865920.

The previous prime is 242232071. The next prime is 242232073. The reversal of 242232072 is 270232242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242232071) and next prime (242232073).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (242232071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116329 + ... + 118392.

It is an arithmetic number, because the mean of its divisors is an integer number (19364565).

Almost surely, 2242232072 is an apocalyptic number.

It is an amenable number.

242232072 is an abundant number, since it is smaller than the sum of its proper divisors (377434008).

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

242232072 is a wasteful number, since it uses less digits than its factorization.

242232072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234773 (or 234769 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 242232072 is about 15563.8064752810. The cubic root of 242232072 is about 623.3671056717.

The spelling of 242232072 in words is "two hundred forty-two million, two hundred thirty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 234721 469442 704163 938884 1408326 1877768 2816652 5633304 10093003 20186006 30279009 40372012 60558018 80744024 121116036 242232072