Search a number
-
+
211222222200 = 2332521121757047
BaseRepresentation
bin1100010010110111010…
…0110101010101111000
3202012012102212122021200
43010231310311111320
511430040342102300
6241011213134200
721155166156663
oct3045564652570
9665172778250
10211222222200
118164048a900
1234b29a8a360
1316bc22b1842
14a31a6ba6da
1557637ac200
hex312dd35578

211222222200 has 432 divisors, whose sum is σ = 825583253040. Its totient is φ = 48192460800.

The previous prime is 211222222199. The next prime is 211222222223. The reversal of 211222222200 is 2222222112.

211222222200 is a `hidden beast` number, since 21 + 1 + 222 + 222 + 200 = 666.

It is a super-2 number, since 2×2112222222002 (a number of 23 digits) contains 22 as substring.

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 107 ways as a sum of consecutive naturals, for example, 3674077 + ... + 3731123.

It is an arithmetic number, because the mean of its divisors is an integer number (1911072345).

Almost surely, 2211222222200 is an apocalyptic number.

211222222200 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 211222222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412791626520).

211222222200 is an abundant number, since it is smaller than the sum of its proper divisors (614361030840).

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

211222222200 is a wasteful number, since it uses less digits than its factorization.

211222222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57108 (or 57085 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 211222222200 its reverse (2222222112), we get a palindrome (213444444312).

It can be divided in two parts, 21 and 1222222200, that added together give a palindrome (1222222221).

The spelling of 211222222200 in words is "two hundred eleven billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred".