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212803808 = 2577731229
BaseRepresentation
bin11001010111100…
…10000011100000
3112211102112221112
430223302003200
5413434210213
633041042452
75162542160
oct1453620340
9484375845
10212803808
11aa138718
125b326428
133511b119
14203965a0
1513a37ea8
hexcaf20e0

212803808 has 48 divisors (see below), whose sum is σ = 479818080. Its totient is φ = 91009536.

The previous prime is 212803777. The next prime is 212803837. The reversal of 212803808 is 808308212.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172538 + ... + 173766.

It is an arithmetic number, because the mean of its divisors is an integer number (9996210).

Almost surely, 2212803808 is an apocalyptic number.

212803808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212803808 is an abundant number, since it is smaller than the sum of its proper divisors (267014272).

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

212803808 is a wasteful number, since it uses less digits than its factorization.

212803808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 212803808 is about 14587.7965436868. The cubic root of 212803808 is about 597.0258446557.

The spelling of 212803808 in words is "two hundred twelve million, eight hundred three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 773 1229 1546 2458 3092 4916 5411 6184 8603 9832 10822 12368 17206 19664 21644 24736 34412 39328 43288 68824 86576 137648 173152 275296 950017 1900034 3800068 6650119 7600136 13300238 15200272 26600476 30400544 53200952 106401904 212803808