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242751820 = 22537328043
BaseRepresentation
bin11100111100000…
…01100101001100
3121220210001220011
432132001211030
5444121024240
640031003004
76005233153
oct1636014514
9556701804
10242751820
11115033043
1269369464
133b3a553c
142435059a
15164a16ea
hexe78194c

242751820 has 24 divisors (see below), whose sum is σ = 523558224. Its totient is φ = 94476096.

The previous prime is 242751799. The next prime is 242751841. The reversal of 242751820 is 28157242.

It is a happy number.

242751820 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242751799) and next prime (242751841).

It is a super-2 number, since 2×2427518202 = 117856892226624800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163282 + ... + 164761.

It is an arithmetic number, because the mean of its divisors is an integer number (21814926).

Almost surely, 2242751820 is an apocalyptic number.

242751820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242751820 is an abundant number, since it is smaller than the sum of its proper divisors (280806404).

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

242751820 is a wasteful number, since it uses less digits than its factorization.

242751820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328089 (or 328087 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 242751820 is about 15580.4948573529. The cubic root of 242751820 is about 623.8126320804.

The spelling of 242751820 in words is "two hundred forty-two million, seven hundred fifty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 328043 656086 1312172 1640215 3280430 6560860 12137591 24275182 48550364 60687955 121375910 242751820