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332332900 = 225218232
BaseRepresentation
bin10011110011101…
…111111101100100
3212011100021000221
4103303233331210
51140034123100
652551014124
711143532404
oct2363577544
9764307027
10332332900
11160658699
129336a344
1353b0b8b3
14321cc804
151e29901a
hex13ceff64

332332900 has 27 divisors (see below), whose sum is σ = 721558201. Its totient is φ = 132860240.

The previous prime is 332332879. The next prime is 332332901. The reversal of 332332900 is 9233233.

The square root of 332332900 is 18230.

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., 119639844 + 212693056 = 10938^2 + 14584^2 .

It is a super-2 number, since 2×3323329002 = 220890312844820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332332901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 181389 + ... + 183211.

Almost surely, 2332332900 is an apocalyptic number.

332332900 is the 18230-th square number.

It is an amenable number.

332332900 is an abundant number, since it is smaller than the sum of its proper divisors (389225301).

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

332332900 is an equidigital number, since it uses as much as digits as its factorization.

332332900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

The cubic root of 332332900 is about 692.6669174980. Note that the first 3 decimals are identical.

Multiplying 332332900 by its sum of digits (25), we get a square (8308322500 = 911502).

332332900 divided by its sum of digits (25) gives a square (13293316 = 36462).

Multiplying 332332900 by its product of nonzero digits (2916), we get a square (969082736400 = 9844202).

The spelling of 332332900 in words is "three hundred thirty-two million, three hundred thirty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1823 3646 7292 9115 18230 36460 45575 91150 182300 3323329 6646658 13293316 16616645 33233290 66466580 83083225 166166450 332332900