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212111364 = 223197113103
BaseRepresentation
bin11001010010010…
…01000000000100
3112210010101002110
430221021000010
5413300030424
633014141020
75153626323
oct1451110004
9483111073
10212111364
11a9805453
125b051770
1334c37baa
14202560ba
151394cc29
hexca49004

212111364 has 48 divisors (see below), whose sum is σ = 528353280. Its totient is φ = 66034080.

The previous prime is 212111323. The next prime is 212111369. The reversal of 212111364 is 463111212.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 212111364.

It is not an unprimeable number, because it can be changed into a prime (212111369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9637 + ... + 22739.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2212111364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264176640).

212111364 is an abundant number, since it is smaller than the sum of its proper divisors (316241916).

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

212111364 is a wasteful number, since it uses less digits than its factorization.

212111364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200 (or 13198 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 212111364 is about 14564.0435319316. The cubic root of 212111364 is about 596.3775853094.

Adding to 212111364 its reverse (463111212), we get a palindrome (675222576).

The spelling of 212111364 in words is "two hundred twelve million, one hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 213 228 284 426 852 1349 2698 4047 5396 8094 13103 16188 26206 39309 52412 78618 157236 248957 497914 746871 930313 995828 1493742 1860626 2790939 2987484 3721252 5581878 11163756 17675947 35351894 53027841 70703788 106055682 212111364