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242310152 = 237231791051
BaseRepresentation
bin11100111000101…
…01110000001000
3121212221122001002
432130111300020
5444012411102
640013314132
76001413410
oct1634256010
9555848032
10242310152
11114861227
1269195948
133b27c4b6
1424277640
1516415902
hexe715c08

242310152 has 64 divisors (see below), whose sum is σ = 545356800. Its totient is φ = 98683200.

The previous prime is 242310139. The next prime is 242310181. The reversal of 242310152 is 251013242.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230027 + ... + 231077.

It is an arithmetic number, because the mean of its divisors is an integer number (8521200).

Almost surely, 2242310152 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 242310152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272678400).

242310152 is an abundant number, since it is smaller than the sum of its proper divisors (303046648).

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

242310152 is a wasteful number, since it uses less digits than its factorization.

242310152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 242310152 is about 15566.3146569765. The cubic root of 242310152 is about 623.4340762625.

Adding to 242310152 its reverse (251013242), we get a palindrome (493323394).

The spelling of 242310152 in words is "two hundred forty-two million, three hundred ten thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 179 184 322 358 644 716 1051 1253 1288 1432 2102 2506 4117 4204 5012 7357 8234 8408 10024 14714 16468 24173 28819 29428 32936 48346 57638 58856 96692 115276 169211 188129 193384 230552 338422 376258 676844 752516 1316903 1353688 1505032 2633806 4326967 5267612 8653934 10535224 17307868 30288769 34615736 60577538 121155076 242310152