Search a number
-
+
213210200 = 23527152293
BaseRepresentation
bin11001011010101…
…01010001011000
3112212012012102002
430231111101120
5414040211300
633053500132
75166154040
oct1455252130
9485165362
10213210200
11aa395a85
125b4a1648
13352310a8
1420460720
1513ab85d5
hexcb55458

213210200 has 48 divisors (see below), whose sum is σ = 566533680. Its totient is φ = 73100160.

The previous prime is 213210187. The next prime is 213210203. The reversal of 213210200 is 2012312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213210203) by changing a digit.

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, 74747 + ... + 77546.

It is an arithmetic number, because the mean of its divisors is an integer number (11802785).

Almost surely, 2213210200 is an apocalyptic number.

213210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213210200 is an abundant number, since it is smaller than the sum of its proper divisors (353323480).

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

213210200 is a wasteful number, since it uses less digits than its factorization.

213210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152316 (or 152307 counting only the distinct ones).

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

The square root of 213210200 is about 14601.7190768758. The cubic root of 213210200 is about 597.4056502692.

Adding to 213210200 its reverse (2012312), we get a palindrome (215222512).

The spelling of 213210200 in words is "two hundred thirteen million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 152293 304586 609172 761465 1066051 1218344 1522930 2132102 3045860 3807325 4264204 5330255 6091720 7614650 8528408 10660510 15229300 21321020 26651275 30458600 42642040 53302550 106605100 213210200