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243048100 = 225215592
BaseRepresentation
bin11100111110010…
…01111010100100
3121221100010022111
432133021322210
5444210014400
640041210404
76010606021
oct1637117244
9557303274
10243048100
111152156a9
1269490a04
133b47a359
14243ca548
151650e3ba
hexe7c9ea4

243048100 has 27 divisors (see below), whose sum is σ = 527752897. Its totient is φ = 97156880.

The previous prime is 243048049. The next prime is 243048109. The reversal of 243048100 is 1840342.

The square root of 243048100 is 15590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87497316 + 155550784 = 9354^2 + 12472^2 .

It is a super-2 number, since 2×2430481002 = 118144757827220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (243048109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 155121 + ... + 156679.

Almost surely, 2243048100 is an apocalyptic number.

243048100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

243048100 is the 15590-th square number.

It is an amenable number.

243048100 is an abundant number, since it is smaller than the sum of its proper divisors (284704797).

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

243048100 is an equidigital number, since it uses as much as digits as its factorization.

243048100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3132 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The cubic root of 243048100 is about 624.0663178749.

Adding to 243048100 its reverse (1840342), we get a palindrome (244888442).

The spelling of 243048100 in words is "two hundred forty-three million, forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1559 3118 6236 7795 15590 31180 38975 77950 155900 2430481 4860962 9721924 12152405 24304810 48609620 60762025 121524050 243048100