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213012200 = 23522346307
BaseRepresentation
bin11001011001001…
…00111011101000
3112211211010210202
430230210323220
5414012342300
633045331332
75164400552
oct1454447350
9484733722
10213012200
11aa270245
125b406b48
1335191c2b
142040c4d2
1513a79ad5
hexcb24ee8

213012200 has 48 divisors (see below), whose sum is σ = 516797280. Its totient is φ = 81498560.

The previous prime is 213012167. The next prime is 213012209. The reversal of 213012200 is 2210312.

It is a happy number.

213012200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213012209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18554 + ... + 27753.

It is an arithmetic number, because the mean of its divisors is an integer number (10766610).

Almost surely, 2213012200 is an apocalyptic number.

213012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213012200 is an abundant number, since it is smaller than the sum of its proper divisors (303785080).

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

213012200 is a wasteful number, since it uses less digits than its factorization.

213012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46346 (or 46337 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 213012200 is about 14594.9374784546. The cubic root of 213012200 is about 597.2206638823.

Adding to 213012200 its reverse (2210312), we get a palindrome (215222512).

The spelling of 213012200 in words is "two hundred thirteen million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 46307 92614 185228 231535 370456 463070 926140 1065061 1157675 1852280 2130122 2315350 4260244 4630700 5325305 8520488 9261400 10650610 21301220 26626525 42602440 53253050 106506100 213012200