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BaseRepresentation
bin101000010001…
…0010110001000
31110201121111100
41100202112020
520401042300
62032301400
7344310414
oct120422610
943647440
1021112200
1110a0a9aa
1270a1860
1344b2735
142b37d44
151cc0700
hex1422588

21112200 has 144 divisors (see below), whose sum is σ = 73047780. Its totient is φ = 5460480.

The previous prime is 21112199. The next prime is 21112207. The reversal of 21112200 is 221112.

It can be written as a sum of positive squares in 6 ways, for example, as 6687396 + 14424804 = 2586^2 + 3798^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21112207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66442 + ... + 66758.

Almost surely, 221112200 is an apocalyptic number.

21112200 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 21112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36523890).

21112200 is an abundant number, since it is smaller than the sum of its proper divisors (51935580).

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

21112200 is a wasteful number, since it uses less digits than its factorization.

21112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 21112200 is about 4594.8014102897. The cubic root of 21112200 is about 276.3828964112.

Adding to 21112200 its reverse (221112), we get a palindrome (21333312).

It can be divided in two parts, 21112 and 200, that added together give a palindrome (21312).

The spelling of 21112200 in words is "twenty-one million, one hundred twelve thousand, two hundred".