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212926465 = 51131971913
BaseRepresentation
bin11001011000100…
…00000000000001
3112211122210012101
430230100000001
5414002121330
633043430401
75163562603
oct1454200001
9484583171
10212926465
11aa211894
125b385401
1335161bbb
14203c9173
1513a5e4ca
hexcb10001

212926465 has 16 divisors (see below), whose sum is σ = 259216848. Its totient is φ = 167888896.

The previous prime is 212926393. The next prime is 212926477. The reversal of 212926465 is 564629212.

It is a Cunningham number, because it is equal to 145922+1.

It can be written as a sum of positive squares in 8 ways, for example, as 3748096 + 209178369 = 1936^2 + 14463^2 .

It is a cyclic number.

It is not a de Polignac number, because 212926465 - 211 = 212924417 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110349 + ... + 112261.

It is an arithmetic number, because the mean of its divisors is an integer number (16201053).

It is a Proth number, since it is equal to 3249 ⋅ 216 + 1 and 3249 < 216.

Almost surely, 2212926465 is an apocalyptic number.

It is an amenable number.

212926465 is a deficient number, since it is larger than the sum of its proper divisors (46290383).

212926465 is a wasteful number, since it uses less digits than its factorization.

212926465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228.

The product of its digits is 51840, while the sum is 37.

The square root of 212926465 is about 14592.0000342654. Note that the first 4 decimals coincide. The cubic root of 212926465 is about 597.1405282772.

The spelling of 212926465 in words is "two hundred twelve million, nine hundred twenty-six thousand, four hundred sixty-five".

Divisors: 1 5 113 197 565 985 1913 9565 22261 111305 216169 376861 1080845 1884305 42585293 212926465