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242051916 = 223172275227
BaseRepresentation
bin11100110110101…
…10101101001100
3121212110111210210
432123112231030
5443431130131
640004002420
75666256501
oct1633265514
9555414723
10242051916
111146a5207
1269090410
133b1bbab2
142420b4a8
15163b4146
hexe6d6b4c

242051916 has 48 divisors (see below), whose sum is σ = 600759936. Its totient is φ = 75588864.

The previous prime is 242051897. The next prime is 242051917. The reversal of 242051916 is 619150242.

It is not an unprimeable number, because it can be changed into a prime (242051917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43695 + ... + 48921.

It is an arithmetic number, because the mean of its divisors is an integer number (12515832).

Almost surely, 2242051916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242051916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300379968).

242051916 is an abundant number, since it is smaller than the sum of its proper divisors (358708020).

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

242051916 is a wasteful number, since it uses less digits than its factorization.

242051916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5478 (or 5476 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 242051916 is about 15558.0177400593. The cubic root of 242051916 is about 623.2125277690.

The spelling of 242051916 in words is "two hundred forty-two million, fifty-one thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 227 454 681 908 1362 2724 3859 5227 7718 10454 11577 15436 15681 20908 23154 31362 46308 62724 88859 177718 266577 355436 533154 1066308 1186529 2373058 3559587 4746116 7119174 14238348 20170993 40341986 60512979 80683972 121025958 242051916