| Base | Representation |
|---|---|
| bin | 1000011000011010… |
| … | …0011000000100000 |
| 3 | 12210210111220002200 |
| 4 | 2012012203000200 |
| 5 | 14101431110300 |
| 6 | 1011130213200 |
| 7 | 106516343634 |
| oct | 20606430040 |
| 9 | 5723456080 |
| 10 | 2249863200 |
| 11 | a54a97582 |
| 12 | 529584200 |
| 13 | 29b16c700 |
| 14 | 174b3adc4 |
| 15 | d27bb200 |
| hex | 861a3020 |
2249863200 has 486 divisors, whose sum is σ = 8795231991. Its totient is φ = 540933120.
The previous prime is 2249863171. The next prime is 2249863229. The reversal of 2249863200 is 23689422.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is an interprime number because it is at equal distance from previous prime (2249863171) and next prime (2249863229).
It can be written as a sum of positive squares in 5 ways, for example, as 140849424 + 2109013776 = 11868^2 + 45924^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=33540.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 52322379 + ... + 52322421.
Almost surely, 22249863200 is an apocalyptic number.
2249863200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2249863200
2249863200 is an abundant number, since it is smaller than the sum of its proper divisors (6545368791).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2249863200 is a wasteful number, since it uses less digits than its factorization.
2249863200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138 (or 66 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 2249863200 is about 47432.7228819936. The cubic root of 2249863200 is about 1310.3441397201.
Multiplying 2249863200 by its product of nonzero digits (41472), we get a square (93306326630400 = 96595202).
The spelling of 2249863200 in words is "two billion, two hundred forty-nine million, eight hundred sixty-three thousand, two hundred".
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