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212242200 = 23352353737
BaseRepresentation
bin11001010011010…
…00111100011000
3112210101000120020
430221220330120
5413313222300
633021030440
75155012632
oct1451507430
9483330506
10212242200
11a9894785
125b0b5420
1334c82601
142028ba52
15139768a0
hexca68f18

212242200 has 48 divisors (see below), whose sum is σ = 657952680. Its totient is φ = 56597760.

The previous prime is 212242187. The next prime is 212242201. The reversal of 212242200 is 2242212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212242200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212242201) by changing a digit.

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, 176269 + ... + 177468.

Almost surely, 2212242200 is an apocalyptic number.

212242200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212242200 is an abundant number, since it is smaller than the sum of its proper divisors (445710480).

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

212242200 is a wasteful number, since it uses less digits than its factorization.

212242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353756 (or 353747 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 212242200 is about 14568.5345865670. The cubic root of 212242200 is about 596.5001806898.

Adding to 212242200 its reverse (2242212), we get a palindrome (214484412).

The spelling of 212242200 in words is "two hundred twelve million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 353737 707474 1061211 1414948 1768685 2122422 2829896 3537370 4244844 5306055 7074740 8489688 8843425 10612110 14149480 17686850 21224220 26530275 35373700 42448440 53060550 70747400 106121100 212242200