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242980900 = 22522429809
BaseRepresentation
bin11100111101110…
…01100000100100
3121221012201010121
432132321200210
5444200342100
640035531324
76010206061
oct1636714044
9557181117
10242980900
1111517a168
1269459b44
133b4558a6
14243adc68
15164e951a
hexe7b9824

242980900 has 18 divisors (see below), whose sum is σ = 527268770. Its totient is φ = 97192320.

The previous prime is 242980897. The next prime is 242980909. The reversal of 242980900 is 9089242.

242980900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 12730624 + 230250276 = 3568^2 + 15174^2 .

It is not an unprimeable number, because it can be changed into a prime (242980909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1214805 + ... + 1215004.

Almost surely, 2242980900 is an apocalyptic number.

242980900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242980900 is an abundant number, since it is smaller than the sum of its proper divisors (284287870).

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

242980900 is a wasteful number, since it uses less digits than its factorization.

242980900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429823 (or 2429816 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 242980900 is about 15587.8446232954. The cubic root of 242980900 is about 624.0087968571.

The spelling of 242980900 in words is "two hundred forty-two million, nine hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2429809 4859618 9719236 12149045 24298090 48596180 60745225 121490450 242980900