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212109976 = 231313714887
BaseRepresentation
bin11001010010010…
…00101010011000
3112210010022012001
430221020222120
5413300004401
633014130344
75153622301
oct1451105230
9483108161
10212109976
11a9804401
125b0509b4
1334c37380
14202557a8
151394c601
hexca48a98

212109976 has 32 divisors (see below), whose sum is σ = 431454240. Its totient is φ = 97175808.

The previous prime is 212109959. The next prime is 212109991. The reversal of 212109976 is 679901212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6805 + ... + 21691.

It is an arithmetic number, because the mean of its divisors is an integer number (13482945).

Almost surely, 2212109976 is an apocalyptic number.

212109976 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 212109976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215727120).

212109976 is an abundant number, since it is smaller than the sum of its proper divisors (219344264).

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

212109976 is a wasteful number, since it uses less digits than its factorization.

212109976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15043 (or 15039 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 37.

The square root of 212109976 is about 14563.9958802521. The cubic root of 212109976 is about 596.3762844615.

The spelling of 212109976 in words is "two hundred twelve million, one hundred nine thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 104 137 274 548 1096 1781 3562 7124 14248 14887 29774 59548 119096 193531 387062 774124 1548248 2039519 4079038 8158076 16316152 26513747 53027494 106054988 212109976