Search a number
-
+
212202433300 = 2252111323730851
BaseRepresentation
bin1100010110100001000…
…0000010101100010100
3202021201202022112010111
43011220100002230110
511434042310331200
6241252350332404
721221400631204
oct3055020025424
9667652275114
10212202433300
1181aa3817a20
12351621ba104
131701a3b0700
14a3b0956404
1557be8800ba
hex3168402b14

212202433300 has 216 divisors, whose sum is σ = 558674680032. Its totient is φ = 69301440000.

The previous prime is 212202433279. The next prime is 212202433301. The reversal of 212202433300 is 3334202212.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212202433301) 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 71 ways as a sum of consecutive naturals, for example, 6862875 + ... + 6893725.

It is an arithmetic number, because the mean of its divisors is an integer number (2586456852).

Almost surely, 2212202433300 is an apocalyptic number.

212202433300 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 212202433300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279337340016).

212202433300 is an abundant number, since it is smaller than the sum of its proper divisors (346472246732).

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

212202433300 is a wasteful number, since it uses less digits than its factorization.

212202433300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30939 (or 30919 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 212202433300 its reverse (3334202212), we get a palindrome (215536635512).

The spelling of 212202433300 in words is "two hundred twelve billion, two hundred two million, four hundred thirty-three thousand, three hundred".