290248100 has 36 divisors (see below), whose sum is σ = 632592324. Its totient is φ = 115591680.

The previous prime is 290248099. The next prime is 290248121. The reversal of 290248100 is 1842092.

290248100 is digitally balanced in base 3, 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 6 ways, for example, as 4502884 + 285745216 = 2122^2 + 16904^2 .

It is a super-2 number, since 2×290248100² = 168487919107220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 290248100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17072 + ... + 29528.

It is an arithmetic number, because the mean of its divisors is an integer number (17572009).

Almost surely, 2^290248100 is an apocalyptic number.

290248100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

290248100 is an abundant number, since it is smaller than the sum of its proper divisors (342344224).

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

290248100 is a wasteful number, since it uses less digits than its factorization.

290248100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12704 (or 12697 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 290248100 is about 17036.6692754188. The cubic root of 290248100 is about 662.0992996415.

The spelling of 290248100 in words is "two hundred ninety million, two hundred forty-eight thousand, one hundred".