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242088868 = 22729443673
BaseRepresentation
bin11100110110111…
…11101110100100
3121212112101111101
432123133232210
5443433320433
640004445444
75666502310
oct1633375644
9555471441
10242088868
1111471aa4a
12690a9884
133b202868
142421ab40
15163c007d
hexe6dfba4

242088868 has 48 divisors (see below), whose sum is σ = 502750080. Its totient is φ = 99800064.

The previous prime is 242088863. The next prime is 242088883. The reversal of 242088868 is 868880242.

It is not an unprimeable number, because it can be changed into a prime (242088863) 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, 359380 + ... + 360052.

It is an arithmetic number, because the mean of its divisors is an integer number (10473960).

Almost surely, 2242088868 is an apocalyptic number.

242088868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242088868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251375040).

242088868 is an abundant number, since it is smaller than the sum of its proper divisors (260661212).

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

242088868 is a wasteful number, since it uses less digits than its factorization.

242088868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 242088868 is about 15559.2052496263. The cubic root of 242088868 is about 623.2442396677.

The spelling of 242088868 in words is "two hundred forty-two million, eighty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 443 673 812 886 1346 1772 2692 3101 4711 6202 9422 12404 12847 18844 19517 25694 39034 51388 78068 89929 136619 179858 273238 298139 359716 546476 596278 1192556 2086973 4173946 8347892 8646031 17292062 34584124 60522217 121044434 242088868