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332242100 = 22523322421
BaseRepresentation
bin10011110011011…
…001110010110100
3212011011122110222
4103303121302310
51140023221400
652545033512
711143003601
oct2363316264
9764148428
10332242100
111605a6453
1293325898
1353aa9478
14321a76a8
151e27c185
hex13cd9cb4

332242100 has 18 divisors (see below), whose sum is σ = 720965574. Its totient is φ = 132896800.

The previous prime is 332242093. The next prime is 332242103. The reversal of 332242100 is 1242233.

It can be written as a sum of positive squares in 3 ways, for example, as 929296 + 331312804 = 964^2 + 18202^2 .

It is a super-2 number, since 2×3322421002 = 220769626024820000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332242103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1661111 + ... + 1661310.

It is an arithmetic number, because the mean of its divisors is an integer number (40053643).

Almost surely, 2332242100 is an apocalyptic number.

It is an amenable number.

332242100 is an abundant number, since it is smaller than the sum of its proper divisors (388723474).

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

332242100 is a wasteful number, since it uses less digits than its factorization.

332242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322435 (or 3322428 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 332242100 is about 18227.5094294311. The cubic root of 332242100 is about 692.6038282633.

Adding to 332242100 its reverse (1242233), we get a palindrome (333484333).

The spelling of 332242100 in words is "three hundred thirty-two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3322421 6644842 13289684 16612105 33224210 66448420 83060525 166121050 332242100