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2285400 = 2335213293
BaseRepresentation
bin1000101101111101011000
311022002222110
420231331120
51041113100
6120552320
725265655
oct10557530
94262873
102285400
111321067
129226a0
13620310
14436c2c
15302250
hex22df58

2285400 has 96 divisors (see below), whose sum is σ = 7655760. Its totient is φ = 560640.

The previous prime is 2285399. The next prime is 2285401. The reversal of 2285400 is 45822.

It is an interprime number because it is at equal distance from previous prime (2285399) and next prime (2285401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7654 + ... + 7946.

22285400 is an apocalyptic number.

2285400 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 2285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827880).

2285400 is an abundant number, since it is smaller than the sum of its proper divisors (5370360).

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

2285400 is a wasteful number, since it uses less digits than its factorization.

2285400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2285400 is about 1511.7539482336. The cubic root of 2285400 is about 131.7207134488.

The spelling of 2285400 in words is "two million, two hundred eighty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 293 300 312 325 390 520 586 600 650 780 879 975 1172 1300 1465 1560 1758 1950 2344 2600 2930 3516 3809 3900 4395 5860 7032 7325 7618 7800 8790 11427 11720 14650 15236 17580 19045 21975 22854 29300 30472 35160 38090 43950 45708 57135 58600 76180 87900 91416 95225 114270 152360 175800 190450 228540 285675 380900 457080 571350 761800 1142700 2285400