Search a number
-
+
212302222200 = 2332522310150773
BaseRepresentation
bin1100010110111000110…
…0101101001101111000
3202021222201002022202200
43011232030231031320
511434243332102300
6241310313230200
721224022054015
oct3055614551570
9667881068680
10212302222200
1182045084892
123518b702360
1317034c7c0b3
14a3bdcd070c
1557c84e2200
hex316e32d378

212302222200 has 288 divisors, whose sum is σ = 751361775840. Its totient is φ = 53615232000.

The previous prime is 212302222141. The next prime is 212302222213. The reversal of 212302222200 is 2222203212.

212302222200 is a `hidden beast` number, since 212 + 30 + 2 + 222 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4156014 + ... + 4206786.

It is an arithmetic number, because the mean of its divisors is an integer number (2608895055).

Almost surely, 2212302222200 is an apocalyptic number.

212302222200 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 212302222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375680887920).

212302222200 is an abundant number, since it is smaller than the sum of its proper divisors (539059553640).

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

212302222200 is a wasteful number, since it uses less digits than its factorization.

212302222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50919 (or 50907 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 212302222200 its reverse (2222203212), we get a palindrome (214524425412).

The spelling of 212302222200 in words is "two hundred twelve billion, three hundred two million, two hundred twenty-two thousand, two hundred".