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212220310200 = 233522412935009
BaseRepresentation
bin1100010110100101010…
…0001111001010111000
3202021202222221202121220
43011221110033022320
511434111344411300
6241254225432040
721222005605353
oct3055124171270
9667688852556
10212220310200
1182002918118
123516819b620
1317020ccc662
14a3b308b29a
1557c1211da0
hex316950f2b8

212220310200 has 192 divisors, whose sum is σ = 662999752800. Its totient is φ = 56153702400.

The previous prime is 212220310189. The next prime is 212220310231. The reversal of 212220310200 is 2013022212.

It is a happy number.

It is a super-2 number, since 2×2122203102002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212220310200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42365296 + ... + 42370304.

Almost surely, 2212220310200 is an apocalyptic number.

212220310200 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 212220310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331499876400).

212220310200 is an abundant number, since it is smaller than the sum of its proper divisors (450779442600).

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

212220310200 is a wasteful number, since it uses less digits than its factorization.

212220310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212220310200 its reverse (2013022212), we get a palindrome (214233332412).

The spelling of 212220310200 in words is "two hundred twelve billion, two hundred twenty million, three hundred ten thousand, two hundred".