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242230104 = 23324721523
BaseRepresentation
bin11100111000000…
…10001101011000
3121212210120020100
432130002031120
5444002330404
640011455400
76000631134
oct1634021530
9555716210
10242230104
11114807076
1269157560
133b251c2c
14242563c4
15163ebd39
hexe702358

242230104 has 72 divisors (see below), whose sum is σ = 670735260. Its totient is φ = 78973536.

The previous prime is 242230097. The next prime is 242230141. The reversal of 242230104 is 401032242.

242230104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 158287 + ... + 159809.

Almost surely, 2242230104 is an apocalyptic number.

242230104 is a gapful number since it is divisible by the number (24) 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 242230104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335367630).

242230104 is an abundant number, since it is smaller than the sum of its proper divisors (428505156).

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

242230104 is a wasteful number, since it uses less digits than its factorization.

242230104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 242230104 is about 15563.7432515446. The cubic root of 242230104 is about 623.3654174976.

Adding to 242230104 its reverse (401032242), we get a palindrome (643262346).

The spelling of 242230104 in words is "two hundred forty-two million, two hundred thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1523 1692 2209 3046 3384 4418 4569 6092 6627 8836 9138 12184 13254 13707 17672 18276 19881 26508 27414 36552 39762 53016 54828 71581 79524 109656 143162 159048 214743 286324 429486 572648 644229 858972 1288458 1717944 2576916 3364307 5153832 6728614 10092921 13457228 20185842 26914456 30278763 40371684 60557526 80743368 121115052 242230104