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212995400 = 23521064977
BaseRepresentation
bin11001011001000…
…00110101001000
3112211210021202112
430230200311020
5414011323100
633045121452
75164300562
oct1454406510
9484707675
10212995400
11aa259662
125b3b9288
13351873a7
1420406332
1513a74b35
hexcb20d48

212995400 has 24 divisors (see below), whose sum is σ = 495214770. Its totient is φ = 85198080.

The previous prime is 212995357. The next prime is 212995403. The reversal of 212995400 is 4599212.

It can be written as a sum of positive squares in 3 ways, for example, as 173027716 + 39967684 = 13154^2 + 6322^2 .

It is not an unprimeable number, because it can be changed into a prime (212995403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 532289 + ... + 532688.

Almost surely, 2212995400 is an apocalyptic number.

212995400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212995400 is an abundant number, since it is smaller than the sum of its proper divisors (282219370).

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

212995400 is a wasteful number, since it uses less digits than its factorization.

212995400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064993 (or 1064984 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 212995400 is about 14594.3619250723. The cubic root of 212995400 is about 597.2049627927.

The spelling of 212995400 in words is "two hundred twelve million, nine hundred ninety-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1064977 2129954 4259908 5324885 8519816 10649770 21299540 26624425 42599080 53248850 106497700 212995400