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212397472 = 2578871069
BaseRepresentation
bin11001010100011…
…10110110100000
3112210122220120001
430222032312200
5413333204342
633024225344
75156230420
oct1452166640
9483586501
10212397472
11a9990401
125b16b254
13350081a1
14202cc480
15139a78b7
hexca8eda0

212397472 has 48 divisors (see below), whose sum is σ = 478880640. Its totient is φ = 90839808.

The previous prime is 212397457. The next prime is 212397481. The reversal of 212397472 is 274793212.

It is a super-2 number, since 2×2123974722 = 90225372223981568, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 198154 + ... + 199222.

It is an arithmetic number, because the mean of its divisors is an integer number (9976680).

Almost surely, 2212397472 is an apocalyptic number.

It is an amenable number.

212397472 is an abundant number, since it is smaller than the sum of its proper divisors (266483168).

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

212397472 is a wasteful number, since it uses less digits than its factorization.

212397472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1965 counting only the distinct ones).

The product of its digits is 42336, while the sum is 37.

The square root of 212397472 is about 14573.8626314371. The cubic root of 212397472 is about 596.6456076266.

Subtracting from 212397472 its product of digits (42336), we obtain a triangular number (212355136 = T20608).

The spelling of 212397472 in words is "two hundred twelve million, three hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 887 1069 1774 2138 3548 4276 6209 7096 7483 8552 12418 14192 14966 17104 24836 28384 29932 34208 49672 59864 99344 119728 198688 239456 948203 1896406 3792812 6637421 7585624 13274842 15171248 26549684 30342496 53099368 106198736 212397472