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212448900 = 22352708163
BaseRepresentation
bin11001010100110…
…11011010000100
3112210202112002210
430222123122010
5413341331100
633025303420
75156533356
oct1452333204
9483675083
10212448900
11a9a16004
125b194b70
1335025711
14203030d6
15139b7c50
hexca9b684

212448900 has 36 divisors (see below), whose sum is σ = 614686352. Its totient is φ = 56652960.

The previous prime is 212448889. The next prime is 212448913. The reversal of 212448900 is 9844212.

It is a super-2 number, since 2×2124489002 = 90269070222420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 353782 + ... + 354381.

Almost surely, 2212448900 is an apocalyptic number.

212448900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212448900 is an abundant number, since it is smaller than the sum of its proper divisors (402237452).

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

212448900 is a wasteful number, since it uses less digits than its factorization.

212448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708180 (or 708173 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 212448900 is about 14575.6269161913. The cubic root of 212448900 is about 596.6937591948.

The spelling of 212448900 in words is "two hundred twelve million, four hundred forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 708163 1416326 2124489 2832652 3540815 4248978 7081630 8497956 10622445 14163260 17704075 21244890 35408150 42489780 53112225 70816300 106224450 212448900