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212233242 = 23132311673
BaseRepresentation
bin11001010011001…
…10110000011010
3112210100120021110
430221212300122
5413312430432
633020521150
75154644544
oct1451466032
9483316243
10212233242
11a9888a81
125b0b01b6
1334c7b500
1420288694
1513973dcc
hexca66c1a

212233242 has 48 divisors (see below), whose sum is σ = 461792448. Its totient is φ = 64995840.

The previous prime is 212233237. The next prime is 212233243. The reversal of 212233242 is 242332212.

It is not an unprimeable number, because it can be changed into a prime (212233243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 315018 + ... + 315690.

It is an arithmetic number, because the mean of its divisors is an integer number (9620676).

Almost surely, 2212233242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212233242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230896224).

212233242 is an abundant number, since it is smaller than the sum of its proper divisors (249559206).

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

212233242 is a wasteful number, since it uses less digits than its factorization.

212233242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1002 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 212233242 is about 14568.2271399096. The cubic root of 212233242 is about 596.4917885105.

Adding to 212233242 its reverse (242332212), we get a palindrome (454565454).

The spelling of 212233242 in words is "two hundred twelve million, two hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 169 311 338 507 622 673 933 1014 1346 1866 2019 4038 4043 8086 8749 12129 17498 24258 26247 52494 52559 105118 113737 157677 209303 227474 315354 341211 418606 627909 682422 1255818 2720939 5441878 8162817 16325634 35372207 70744414 106116621 212233242