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212211340 = 2251117232467
BaseRepresentation
bin11001010011000…
…01011010001100
3112210022110020021
430221201122030
5413311230330
633020231524
75154523645
oct1451413214
9483273207
10212211340
11a9873580
125b09b5a4
1334c71553
14202806cc
151396c67a
hexca6168c

212211340 has 96 divisors (see below), whose sum is σ = 537352704. Its totient is φ = 69442560.

The previous prime is 212211331. The next prime is 212211341. The reversal of 212211340 is 43112212.

212211340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212211341) 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, 84787 + ... + 87253.

It is an arithmetic number, because the mean of its divisors is an integer number (5597424).

Almost surely, 2212211340 is an apocalyptic number.

212211340 is a gapful number since it is divisible by the number (20) 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 212211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268676352).

212211340 is an abundant number, since it is smaller than the sum of its proper divisors (325141364).

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

212211340 is a wasteful number, since it uses less digits than its factorization.

212211340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 212211340 is about 14567.4754161454. The cubic root of 212211340 is about 596.4712689280.

Adding to 212211340 its reverse (43112212), we get a palindrome (255323552).

The spelling of 212211340 in words is "two hundred twelve million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 23 34 44 46 55 68 85 92 110 115 170 187 220 230 253 340 374 391 460 506 748 782 935 1012 1265 1564 1870 1955 2467 2530 3740 3910 4301 4934 5060 7820 8602 9868 12335 17204 21505 24670 27137 41939 43010 49340 54274 56741 83878 86020 108548 113482 135685 167756 209695 226964 271370 283705 419390 461329 542740 567410 624151 838780 922658 964597 1134820 1248302 1845316 1929194 2306645 2496604 3120755 3858388 4613290 4822985 6241510 9226580 9645970 10610567 12483020 19291940 21221134 42442268 53052835 106105670 212211340