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212426304 = 2638571291
BaseRepresentation
bin11001010100101…
…01111001000000
3112210201101002220
430222111321000
5413340120204
633025011040
75156410446
oct1452257100
9483641086
10212426304
11a9a00032
125b183a80
133501834c
14202d8b96
15139b11d9
hexca95e40

212426304 has 56 divisors (see below), whose sum is σ = 563136288. Its totient is φ = 70671360.

The previous prime is 212426303. The next prime is 212426311. The reversal of 212426304 is 403624212.

212426304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124263042 = 90249869262200832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (212426303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163899 + ... + 165189.

Almost surely, 2212426304 is an apocalyptic number.

212426304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212426304 is an abundant number, since it is smaller than the sum of its proper divisors (350709984).

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

212426304 is a wasteful number, since it uses less digits than its factorization.

212426304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 212426304 is about 14574.8517659700. The cubic root of 212426304 is about 596.6726037229.

The spelling of 212426304 in words is "two hundred twelve million, four hundred twenty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 857 1291 1714 2571 2582 3428 3873 5142 5164 6856 7746 10284 10328 13712 15492 20568 20656 27424 30984 41136 41312 54848 61968 82272 82624 123936 164544 247872 1106387 2212774 3319161 4425548 6638322 8851096 13276644 17702192 26553288 35404384 53106576 70808768 106213152 212426304