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212714900 = 22522127149
BaseRepresentation
bin11001010110111…
…00010110010100
3112211021000222122
430223130112110
5413423334100
633035115112
75162022026
oct1453342624
9484230878
10212714900
11aa087942
125b2a2a98
13350b9808
1420372016
1513a1b985
hexcadc594

212714900 has 18 divisors (see below), whose sum is σ = 461591550. Its totient is φ = 85085920.

The previous prime is 212714893. The next prime is 212714911. The reversal of 212714900 is 9417212.

212714900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 55413136 + 157301764 = 7444^2 + 12542^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 212714900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1063475 + ... + 1063674.

It is an arithmetic number, because the mean of its divisors is an integer number (25643975).

Almost surely, 2212714900 is an apocalyptic number.

212714900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212714900 is an abundant number, since it is smaller than the sum of its proper divisors (248876650).

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

212714900 is a wasteful number, since it uses less digits than its factorization.

212714900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127163 (or 2127156 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 212714900 is about 14584.7488836798. The cubic root of 212714900 is about 596.9426886129.

The spelling of 212714900 in words is "two hundred twelve million, seven hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2127149 4254298 8508596 10635745 21271490 42542980 53178725 106357450 212714900