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242203668 = 223721093779
BaseRepresentation
bin11100110111110…
…11110000010100
3121212202012222020
432123323300110
5444001004133
640011133140
76000461100
oct1633736024
9555665866
10242203668
11114799223
12691441b0
133b242ba5
142424a900
15163e40b3
hexe6fbc14

242203668 has 72 divisors (see below), whose sum is σ = 663616800. Its totient is φ = 68548032.

The previous prime is 242203667. The next prime is 242203681. The reversal of 242203668 is 866302242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242203667) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62203 + ... + 65981.

It is an arithmetic number, because the mean of its divisors is an integer number (9216900).

Almost surely, 2242203668 is an apocalyptic number.

242203668 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 242203668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331808400).

242203668 is an abundant number, since it is smaller than the sum of its proper divisors (421413132).

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

242203668 is a wasteful number, since it uses less digits than its factorization.

242203668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3900 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 242203668 is about 15562.8939468211. The cubic root of 242203668 is about 623.3427394909.

The spelling of 242203668 in words is "two hundred forty-two million, two hundred three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 109 147 196 218 294 327 436 588 654 763 1308 1526 2289 3052 3779 4578 5341 7558 9156 10682 11337 15116 16023 21364 22674 26453 32046 45348 52906 64092 79359 105812 158718 185171 317436 370342 411911 555513 740684 823822 1111026 1235733 1647644 2222052 2471466 2883377 4942932 5766754 8650131 11533508 17300262 20183639 34600524 40367278 60550917 80734556 121101834 242203668