Base | Representation |
---|---|
bin | 1000010001100101… |
… | …0110001010100100 |
3 | 12201210122112012100 |
4 | 2010121112022210 |
5 | 14022114040100 |
6 | 1004224452100 |
7 | 106021126221 |
oct | 20431261244 |
9 | 5653575170 |
10 | 2221236900 |
11 | a3a915183 |
12 | 51ba7a030 |
13 | 295258a7c |
14 | 171008948 |
15 | d0014400 |
hex | 846562a4 |
2221236900 has 81 divisors (see below), whose sum is σ = 6966778273. Its totient is φ = 591952800.
The previous prime is 2221236883. The next prime is 2221236911. The reversal of 2221236900 is 96321222.
The square root of 2221236900 is 47130.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 799645284 + 1421591616 = 28278^2 + 37704^2 .
It is a super-2 number, since 2×22212369002 = 9867786731843220000, which contains 22 as substring.
It is a Duffinian number.
It is an unprimeable number.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1413115 + ... + 1414685.
Almost surely, 22221236900 is an apocalyptic number.
2221236900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
2221236900 is the 47130-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2221236900
2221236900 is an abundant number, since it is smaller than the sum of its proper divisors (4745541373).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221236900 is a wasteful number, since it uses less digits than its factorization.
2221236900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3162 (or 1581 counting only the distinct ones).
The product of its (nonzero) digits is 2592, while the sum is 27.
The cubic root of 2221236900 is about 1304.7629815725.
It can be divided in two parts, 2221 and 236900, that added together give a square (239121 = 4892).
The spelling of 2221236900 in words is "two billion, two hundred twenty-one million, two hundred thirty-six thousand, nine hundred".
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