242099200 has 198 divisors, whose sum is σ = 701707506. Its totient is φ = 82575360.

The previous prime is 242099191. The next prime is 242099267. The reversal of 242099200 is 2990242.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3211264 + 238887936 = 1792^2 + 15456^2 .

It is a super-2 number, since 2×242099200² = 117224045281280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1254304 + ... + 1254496.

Almost surely, 2^242099200 is an apocalyptic number.

242099200 is a gapful number since it is divisible by the number (20) 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 242099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350853753).

242099200 is an abundant number, since it is smaller than the sum of its proper divisors (459608306).

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

242099200 is a wasteful number, since it uses less digits than its factorization.

242099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 242099200 is about 15559.5372681838. The cubic root of 242099200 is about 623.2531059268.

The spelling of 242099200 in words is "two hundred forty-two million, ninety-nine thousand, two hundred".