242613200 has 60 divisors (see below), whose sum is σ = 608243808. Its totient is φ = 92822400.

The previous prime is 242613169. The next prime is 242613209. The reversal of 242613200 is 2316242.

242613200 = 341² + 342² + ... + 915².

It is a super-2 number, since 2×242613200² = 117722329628480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242613209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3986 + ... + 22385.

Almost surely, 2^242613200 is an apocalyptic number.

242613200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242613200 is an abundant number, since it is smaller than the sum of its proper divisors (365630608).

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

242613200 is a wasteful number, since it uses less digits than its factorization.

242613200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26412 (or 26401 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 242613200 is about 15576.0457112837. The cubic root of 242613200 is about 623.6938696725.

Adding to 242613200 its reverse (2316242), we get a palindrome (244929442).

The spelling of 242613200 in words is "two hundred forty-two million, six hundred thirteen thousand, two hundred".