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242192916 = 22347106787
BaseRepresentation
bin11100110111110…
…01001000010100
3121212201200020000
432123321020110
5444000133131
640011011300
76000414540
oct1633711024
9555650200
10242192916
11114791139
1269139b30
133b23b024
1424246a20
15163e0ce6
hexe6f9214

242192916 has 60 divisors (see below), whose sum is σ = 723595488. Its totient is φ = 69197328.

The previous prime is 242192887. The next prime is 242192917. The reversal of 242192916 is 619291242.

242192916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242192917) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51126 + ... + 55661.

Almost surely, 2242192916 is an apocalyptic number.

It is an amenable number.

242192916 is an abundant number, since it is smaller than the sum of its proper divisors (481402572).

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

242192916 is a wasteful number, since it uses less digits than its factorization.

242192916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106810 (or 106799 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 242192916 is about 15562.5485059485. The cubic root of 242192916 is about 623.3335154628. Note that the first 3 decimals are identical.

The spelling of 242192916 in words is "two hundred forty-two million, one hundred ninety-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 106787 213574 320361 427148 640722 747509 961083 1281444 1495018 1922166 2242527 2883249 2990036 3844332 4485054 5766498 6727581 8649747 8970108 11532996 13455162 17299494 20182743 26910324 34598988 40365486 60548229 80730972 121096458 242192916