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212648680 = 23547113111
BaseRepresentation
bin11001010110011…
…00001011101000
3112211010200011001
430223030023220
5413414224210
633033444344
75161324666
oct1453141350
9484120131
10212648680
11aa042112
125b2706b4
133509562a
1420355c36
1513a0703a
hexcacc2e8

212648680 has 32 divisors (see below), whose sum is σ = 488643840. Its totient is φ = 83248960.

The previous prime is 212648669. The next prime is 212648693. The reversal of 212648680 is 86846212.

It is a super-2 number, since 2×2126486802 = 90438922211484800, 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, 54676 + ... + 58435.

It is an arithmetic number, because the mean of its divisors is an integer number (15270120).

Almost surely, 2212648680 is an apocalyptic number.

212648680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212648680 is an abundant number, since it is smaller than the sum of its proper divisors (275995160).

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

212648680 is a wasteful number, since it uses less digits than its factorization.

212648680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113169 (or 113165 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 212648680 is about 14582.4785273286. The cubic root of 212648680 is about 596.8807376987.

The spelling of 212648680 in words is "two hundred twelve million, six hundred forty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 47 94 188 235 376 470 940 1880 113111 226222 452444 565555 904888 1131110 2262220 4524440 5316217 10632434 21264868 26581085 42529736 53162170 106324340 212648680