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212200340 = 225115318199
BaseRepresentation
bin11001010010111…
…10101110010100
3112210021220010212
430221132232110
5413310402330
633020104552
75154446612
oct1451365624
9483256125
10212200340
11a9866290
125b095158
1334c69541
142027a6b2
1513969295
hexca5eb94

212200340 has 48 divisors (see below), whose sum is σ = 495331200. Its totient is φ = 75703680.

The previous prime is 212200283. The next prime is 212200349. The reversal of 212200340 is 43002212.

It is a super-2 number, since 2×2122003402 = 90057968592231200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200349) 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, 2561 + ... + 20759.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2212200340 is an apocalyptic number.

212200340 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 212200340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247665600).

212200340 is an abundant number, since it is smaller than the sum of its proper divisors (283130860).

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

212200340 is a wasteful number, since it uses less digits than its factorization.

212200340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18272 (or 18270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 212200340 is about 14567.0978578439. The cubic root of 212200340 is about 596.4609626969.

Adding to 212200340 its reverse (43002212), we get a palindrome (255202552).

The spelling of 212200340 in words is "two hundred twelve million, two hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 1060 1166 2332 2915 5830 11660 18199 36398 72796 90995 181990 200189 363980 400378 800756 964547 1000945 1929094 2001890 3858188 4003780 4822735 9645470 10610017 19290940 21220034 42440068 53050085 106100170 212200340