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242231088 = 243111493079
BaseRepresentation
bin11100111000000…
…10011100110000
3121212210121120210
432130002130300
5444002343323
640011504120
76000634041
oct1634023460
9555717523
10242231088
11114807890
1269158040
133b252508
14242568c8
15163ec293
hexe702730

242231088 has 80 divisors (see below), whose sum is σ = 687456000. Its totient is φ = 72887040.

The previous prime is 242231047. The next prime is 242231131. The reversal of 242231088 is 880132242.

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, 77133 + ... + 80211.

It is an arithmetic number, because the mean of its divisors is an integer number (8593200).

Almost surely, 2242231088 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 242231088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728000).

242231088 is an abundant number, since it is smaller than the sum of its proper divisors (445224912).

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

242231088 is a wasteful number, since it uses less digits than its factorization.

242231088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 242231088 is about 15563.7748634449. The cubic root of 242231088 is about 623.3662615858.

The spelling of 242231088 in words is "two hundred forty-two million, two hundred thirty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 264 298 447 528 596 894 1192 1639 1788 2384 3079 3278 3576 4917 6158 6556 7152 9237 9834 12316 13112 18474 19668 24632 26224 33869 36948 39336 49264 67738 73896 78672 101607 135476 147792 203214 270952 406428 458771 541904 812856 917542 1376313 1625712 1835084 2752626 3670168 5046481 5505252 7340336 10092962 11010504 15139443 20185924 22021008 30278886 40371848 60557772 80743696 121115544 242231088