| Base | Representation |
|---|---|
| bin | 1000010110111111… |
| … | …0111010001100100 |
| 3 | 12210101022210022100 |
| 4 | 2011233313101210 |
| 5 | 14043420320100 |
| 6 | 1010354532100 |
| 7 | 106414656531 |
| oct | 20557672144 |
| 9 | 5711283270 |
| 10 | 2243916900 |
| 11 | a516a5a85 |
| 12 | 527597030 |
| 13 | 299b69ca4 |
| 14 | 17402dd88 |
| 15 | d1ee4400 |
| hex | 85bf7464 |
2243916900 has 81 divisors (see below), whose sum is σ = 7037890041. Its totient is φ = 597998880.
The previous prime is 2243916889. The next prime is 2243916923. The reversal of 2243916900 is 96193422.
The square root of 2243916900 is 47370.
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., 807810084 + 1436106816 = 28422^2 + 37896^2 .
It is a super-2 number, since 2×22439169002 = 10070326108211220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1420311 + ... + 1421889.
Almost surely, 22243916900 is an apocalyptic number.
2243916900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
2243916900 is the 47370-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2243916900
2243916900 is an abundant number, since it is smaller than the sum of its proper divisors (4793973141).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2243916900 is a wasteful number, since it uses less digits than its factorization.
2243916900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3178 (or 1589 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 36.
The cubic root of 2243916900 is about 1309.1887251983.
Multiplying 2243916900 by its sum of digits (36), we get a square (80781008400 = 2842202).
2243916900 divided by its sum of digits (36) gives a square (62331025 = 78952).
The spelling of 2243916900 in words is "two billion, two hundred forty-three million, nine hundred sixteen thousand, nine hundred".
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