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221141300 = 22522211413
BaseRepresentation
bin11010010111001…
…01100100110100
3120102010010211112
431023211210310
5423103010200
633535454152
75323445552
oct1513454464
9512103745
10221141300
11103912806
1262087358
1336a7a053
1421526bd2
1514633535
hexd2e5934

221141300 has 18 divisors (see below), whose sum is σ = 479876838. Its totient is φ = 88456480.

The previous prime is 221141257. The next prime is 221141351. The reversal of 221141300 is 3141122.

221141300 is digitally balanced in base 2, 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 1449616 + 219691684 = 1204^2 + 14822^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1105607 + ... + 1105806.

Almost surely, 2221141300 is an apocalyptic number.

221141300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221141300 is an abundant number, since it is smaller than the sum of its proper divisors (258735538).

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

221141300 is a wasteful number, since it uses less digits than its factorization.

221141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211427 (or 2211420 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 221141300 is about 14870.8204212142. The cubic root of 221141300 is about 604.7231846127.

Adding to 221141300 its reverse (3141122), we get a palindrome (224282422).

The spelling of 221141300 in words is "two hundred twenty-one million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2211413 4422826 8845652 11057065 22114130 44228260 55285325 110570650 221141300