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242212344 = 23311917471
BaseRepresentation
bin11100110111111…
…01110111111000
3121212202122212120
432123331313320
5444001243334
640011241240
76000525303
oct1633756770
9555678776
10242212344
111147a47a0
1269149220
133b246b1a
142424db3a
15163e6949
hexe6fddf8

242212344 has 32 divisors (see below), whose sum is σ = 660579840. Its totient is φ = 73397600.

The previous prime is 242212339. The next prime is 242212351. The reversal of 242212344 is 443212242.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458472 + ... + 458999.

It is an arithmetic number, because the mean of its divisors is an integer number (20643120).

Almost surely, 2242212344 is an apocalyptic number.

242212344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242212344 is an abundant number, since it is smaller than the sum of its proper divisors (418367496).

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

242212344 is a wasteful number, since it uses less digits than its factorization.

242212344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917491 (or 917487 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 242212344 is about 15563.1726842569. The cubic root of 242212344 is about 623.3501823414.

Adding to 242212344 its reverse (443212242), we get a palindrome (685424586).

It can be divided in two parts, 242212 and 344, that added together give a triangular number (242556 = T696).

The spelling of 242212344 in words is "two hundred forty-two million, two hundred twelve thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 917471 1834942 2752413 3669884 5504826 7339768 10092181 11009652 20184362 22019304 30276543 40368724 60553086 80737448 121106172 242212344