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242310112 = 25111740493
BaseRepresentation
bin11100111000101…
…01101111100000
3121212221121222121
432130111233200
5444012410422
640013314024
76001413322
oct1634255740
9555847877
10242310112
111148611a0
1269195914
133b27c485
1424277612
15164158c7
hexe715be0

242310112 has 48 divisors (see below), whose sum is σ = 551042352. Its totient is φ = 103659520.

The previous prime is 242310073. The next prime is 242310127. The reversal of 242310112 is 211013242.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 14263 + ... + 26230.

It is an arithmetic number, because the mean of its divisors is an integer number (11480049).

Almost surely, 2242310112 is an apocalyptic number.

242310112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242310112 is an abundant number, since it is smaller than the sum of its proper divisors (308732240).

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

242310112 is a wasteful number, since it uses less digits than its factorization.

242310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40531 (or 40523 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 242310112 is about 15566.3133721508. The cubic root of 242310112 is about 623.4340419575.

Adding to 242310112 its reverse (211013242), we get a palindrome (453323354).

The spelling of 242310112 in words is "two hundred forty-two million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 40493 80986 161972 323944 445423 647888 688381 890846 1295776 1376762 1781692 2753524 3563384 5507048 7126768 7572191 11014096 14253536 15144382 22028192 30288764 60577528 121155056 242310112