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2285283000 = 2335371113761
BaseRepresentation
bin1000100000110110…
…1010011010111000
312220021011101221010
42020031222122320
514140013024000
61014433313520
7110426404440
oct21015523270
95807141833
102285283000
11a72a89a40
125394058a0
132a55c1580
1417971b120
15d5965d50
hex8836a6b8

2285283000 has 512 divisors, whose sum is σ = 9585838080. Its totient is φ = 437760000.

The previous prime is 2285282981. The next prime is 2285283019. The reversal of 2285283000 is 3825822.

It is an interprime number because it is at equal distance from previous prime (2285282981) and next prime (2285283019).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3002620 + ... + 3003380.

It is an arithmetic number, because the mean of its divisors is an integer number (18722340).

Almost surely, 22285283000 is an apocalyptic number.

2285283000 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 2285283000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4792919040).

2285283000 is an abundant number, since it is smaller than the sum of its proper divisors (7300555080).

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

2285283000 is a wasteful number, since it uses less digits than its factorization.

2285283000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2285283000 is about 47804.6336666227. The cubic root of 2285283000 is about 1317.1846561673.

The spelling of 2285283000 in words is "two billion, two hundred eighty-five million, two hundred eighty-three thousand".