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2286421000 = 235313271723
BaseRepresentation
bin1000100001001000…
…0000010000001000
312220100022012222021
42020102000100020
514140310433000
61014513534224
7110442154303
oct21022002010
95810265867
102286421000
11a73696a36
12539874374
132a58cc546
14179935b3a
15d5add11a
hex88480408

2286421000 has 64 divisors (see below), whose sum is σ = 5357364480. Its totient is φ = 913348800.

The previous prime is 2286420989. The next prime is 2286421009. The reversal of 2286421000 is 1246822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2286421009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326139 + ... + 1327861.

It is an arithmetic number, because the mean of its divisors is an integer number (83708820).

Almost surely, 22286421000 is an apocalyptic number.

2286421000 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 2286421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678682240).

2286421000 is an abundant number, since it is smaller than the sum of its proper divisors (3070943480).

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

2286421000 is a wasteful number, since it uses less digits than its factorization.

2286421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3071 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2286421000 is about 47816.5347970762. The cubic root of 2286421000 is about 1317.4032589102.

Adding to 2286421000 its reverse (1246822), we get a palindrome (2287667822).

The spelling of 2286421000 in words is "two billion, two hundred eighty-six million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1327 1723 2654 3446 5308 6635 6892 8615 10616 13270 13784 17230 26540 33175 34460 43075 53080 66350 68920 86150 132700 165875 172300 215375 265400 331750 344600 430750 663500 861500 1327000 1723000 2286421 4572842 9145684 11432105 18291368 22864210 45728420 57160525 91456840 114321050 228642100 285802625 457284200 571605250 1143210500 2286421000