Search a number
-
+
373842225 = 325212892
BaseRepresentation
bin10110010010000…
…110000100110001
3222001110011010100
4112102012010301
51231200422400
6101032423013
712156415011
oct2622060461
9861404110
10373842225
1118202a219
12a5247a69
135c5b3423
1437915c41
1522c48100
hex16486131

373842225 has 27 divisors (see below), whose sum is σ = 670112833. Its totient is φ = 199227840.

The previous prime is 373842197. The next prime is 373842239. The reversal of 373842225 is 522248373.

The square root of 373842225 is 19335.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13905441 + 359936784 = 3729^2 + 18972^2 .

It is not a de Polignac number, because 373842225 - 213 = 373834033 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 373842225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 289381 + ... + 290669.

Almost surely, 2373842225 is an apocalyptic number.

373842225 is the 19335-th square number.

373842225 is the 9668-th centered octagonal number.

It is an amenable number.

373842225 is a deficient number, since it is larger than the sum of its proper divisors (296270608).

373842225 is an equidigital number, since it uses as much as digits as its factorization.

373842225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 1297 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The cubic root of 373842225 is about 720.3818865327.

Multiplying 373842225 by its sum of digits (36), we get a square (13458320100 = 1160102).

The spelling of 373842225 in words is "three hundred seventy-three million, eight hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1289 3867 6445 11601 19335 32225 58005 96675 290025 1661521 4984563 8307605 14953689 24922815 41538025 74768445 124614075 373842225