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213402500 = 225485361
BaseRepresentation
bin11001011100001…
…00001110000100
3112212112222012022
430232010032010
5414112340000
633101542312
75200614503
oct1456041604
9485488168
10213402500
11aa507503
125b574998
133529a78c
14204b083a
1513b05585
hexcb84384

213402500 has 30 divisors (see below), whose sum is σ = 466674054. Its totient is φ = 85360000.

The previous prime is 213402457. The next prime is 213402517. The reversal of 213402500 is 5204312.

It can be written as a sum of positive squares in 5 ways, for example, as 60435076 + 152967424 = 7774^2 + 12368^2 .

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 9 ways as a sum of consecutive naturals, for example, 40181 + ... + 45180.

Almost surely, 2213402500 is an apocalyptic number.

213402500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213402500 is an abundant number, since it is smaller than the sum of its proper divisors (253271554).

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

213402500 is an equidigital number, since it uses as much as digits as its factorization.

213402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85385 (or 85368 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 213402500 is about 14608.3024338901. The cubic root of 213402500 is about 597.5852016942.

Adding to 213402500 its reverse (5204312), we get a palindrome (218606812).

The spelling of 213402500 in words is "two hundred thirteen million, four hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 85361 170722 341444 426805 853610 1707220 2134025 4268050 8536100 10670125 21340250 42680500 53350625 106701250 213402500