Search a number
-
+
12212200 = 23527111361
BaseRepresentation
bin101110100101…
…011111101000
3211222102222201
4232211133220
511111242300
61113425544
7205542040
oct56453750
924872881
1012212200
116991230
12410b2b4
1326b7770
14189c720
15111366a
hexba57e8

12212200 has 192 divisors, whose sum is σ = 38747520. Its totient is φ = 3456000.

The previous prime is 12212197. The next prime is 12212201. The reversal of 12212200 is 221221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (12212201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200170 + ... + 200230.

It is an arithmetic number, because the mean of its divisors is an integer number (201810).

Almost surely, 212212200 is an apocalyptic number.

12212200 is a gapful number since it is divisible by the number (10) 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 12212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

12212200 is an abundant number, since it is smaller than the sum of its proper divisors (26535320).

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

12212200 is a wasteful number, since it uses less digits than its factorization.

12212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 12212200 is about 3494.5958278462. The cubic root of 12212200 is about 230.2844621491.

Adding to 12212200 its reverse (221221), we get a palindrome (12433421).

It can be divided in two parts, 122 and 12200, that multiplied together give a square (1488400 = 12202).

The spelling of 12212200 in words is "twelve million, two hundred twelve thousand, two hundred".