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221012200 = 23521105061
BaseRepresentation
bin11010010110001…
…10000011101000
3120101212120202001
431023012003220
5423034342300
633533020344
75322400303
oct1513060350
9511776661
10221012200
11103834812
12620246b4
1336a33366
14214d1b3a
151460a16a
hexd2c60e8

221012200 has 24 divisors (see below), whose sum is σ = 513853830. Its totient is φ = 88404800.

The previous prime is 221012191. The next prime is 221012201. The reversal of 221012200 is 2210122.

221012200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 181548676 + 39463524 = 13474^2 + 6282^2 .

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

It is not an unprimeable number, because it can be changed into a prime (221012201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 552331 + ... + 552730.

Almost surely, 2221012200 is an apocalyptic number.

221012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012200 is an abundant number, since it is smaller than the sum of its proper divisors (292841630).

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

221012200 is a wasteful number, since it uses less digits than its factorization.

221012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105077 (or 1105068 counting only the distinct ones).

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

The square root of 221012200 is about 14866.4790720601. The cubic root of 221012200 is about 604.6054846623.

Adding to 221012200 its reverse (2210122), we get a palindrome (223222322).

Multiplying 221012200 by its reverse (2210122), we get a square (488463925488400 = 221012202).

221012200 divided by its reverse (2210122) gives a square (100 = 102).

The spelling of 221012200 in words is "two hundred twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1105061 2210122 4420244 5525305 8840488 11050610 22101220 27626525 44202440 55253050 110506100 221012200