Search a number
-
+
212460200 = 23522346187
BaseRepresentation
bin11001010100111…
…10001010101000
3112210210002121022
430222132022220
5413342211300
633025432012
75156611331
oct1452361250
9483702538
10212460200
11a9a23547
125b19b608
133502a8c4
1420307288
15139bb285
hexca9e2a8

212460200 has 48 divisors (see below), whose sum is σ = 515458080. Its totient is φ = 81287360.

The previous prime is 212460191. The next prime is 212460211. The reversal of 212460200 is 2064212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18494 + ... + 27693.

It is an arithmetic number, because the mean of its divisors is an integer number (10738710).

Almost surely, 2212460200 is an apocalyptic number.

212460200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212460200 is an abundant number, since it is smaller than the sum of its proper divisors (302997880).

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

212460200 is a wasteful number, since it uses less digits than its factorization.

212460200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46226 (or 46217 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 212460200 is about 14576.0145444494. The cubic root of 212460200 is about 596.7043382406.

The spelling of 212460200 in words is "two hundred twelve million, four hundred sixty 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 46187 92374 184748 230935 369496 461870 923740 1062301 1154675 1847480 2124602 2309350 4249204 4618700 5311505 8498408 9237400 10623010 21246020 26557525 42492040 53115050 106230100 212460200