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212632056 = 2332713172383
BaseRepresentation
bin11001010110010…
…00000111111000
3112211002211100100
430223020013320
5413413211211
633033235400
75161225350
oct1453100770
9484084310
10212632056
11aa03067a
125b262b60
133508abb0
142034db60
1513a02156
hexcac81f8

212632056 has 384 divisors, whose sum is σ = 792529920. Its totient is φ = 49876992.

The previous prime is 212632037. The next prime is 212632111. The reversal of 212632056 is 650236212.

212632056 is a `hidden beast` number, since 21 + 2 + 632 + 0 + 5 + 6 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2561791 + ... + 2561873.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2212632056 is an apocalyptic number.

212632056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212632056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396264960).

212632056 is an abundant number, since it is smaller than the sum of its proper divisors (579897864).

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

212632056 is a wasteful number, since it uses less digits than its factorization.

212632056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 212632056 is about 14581.9085170632. The cubic root of 212632056 is about 596.8651833989.

Adding to 212632056 its reverse (650236212), we get a palindrome (862868268).

The spelling of 212632056 in words is "two hundred twelve million, six hundred thirty-two thousand, fifty-six".