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212249994 = 231131227457
BaseRepresentation
bin11001010011010…
…10110110001010
3112210101102020220
430221222312022
5413313444434
633021130510
75155044435
oct1451526612
9483342226
10212249994
11a989a620
125b0b9a36
1334c86018
142029081c
1513978d49
hexca6ad8a

212249994 has 64 divisors (see below), whose sum is σ = 481185792. Its totient is φ = 61833600.

The previous prime is 212249993. The next prime is 212250023. The reversal of 212249994 is 499942212.

212249994 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212249993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464214 + ... + 464670.

It is an arithmetic number, because the mean of its divisors is an integer number (7518528).

Almost surely, 2212249994 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212249994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240592896).

212249994 is an abundant number, since it is smaller than the sum of its proper divisors (268935798).

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

212249994 is a wasteful number, since it uses less digits than its factorization.

212249994 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731.

The product of its digits is 93312, while the sum is 42.

The square root of 212249994 is about 14568.8020784140. The cubic root of 212249994 is about 596.5074821996.

The spelling of 212249994 in words is "two hundred twelve million, two hundred forty-nine thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 227 341 454 457 681 682 914 1023 1362 1371 2046 2497 2742 4994 5027 7037 7491 10054 14074 14167 14982 15081 21111 28334 30162 42222 42501 77407 85002 103739 154814 155837 207478 232221 311217 311674 464442 467511 622434 935022 1141129 2282258 3215909 3423387 6431818 6846774 9647727 19295454 35374999 70749998 106124997 212249994