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201222100 = 22522012221
BaseRepresentation
bin10111111111001…
…10011111010100
3112000122010211101
423333212133110
5403003101400
631544515444
74662234232
oct1377463724
9460563741
10201222100
11a3648162
125747bb84
13328c4641
141ca1d952
15129eb56a
hexbfe67d4

201222100 has 18 divisors (see below), whose sum is σ = 436652174. Its totient is φ = 80488800.

The previous prime is 201222067. The next prime is 201222121. The reversal of 201222100 is 1222102.

It can be written as a sum of positive squares in 3 ways, for example, as 26030404 + 175191696 = 5102^2 + 13236^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1006011 + ... + 1006210.

Almost surely, 2201222100 is an apocalyptic number.

201222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201222100 is an abundant number, since it is smaller than the sum of its proper divisors (235430074).

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

201222100 is a wasteful number, since it uses less digits than its factorization.

201222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012235 (or 2012228 counting only the distinct ones).

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

The square root of 201222100 is about 14185.2775792369. The cubic root of 201222100 is about 585.9922770360.

Adding to 201222100 its reverse (1222102), we get a palindrome (202444202).

It can be divided in two parts, 20122 and 2100, that added together give a palindrome (22222).

The spelling of 201222100 in words is "two hundred one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2012221 4024442 8048884 10061105 20122210 40244420 50305525 100611050 201222100