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2285164 = 227289131
BaseRepresentation
bin1000101101111001101100
311022002122201
420231321230
51041111124
6120551244
725265200
oct10557154
94262581
102285164
111320972
12922524
1362018b
14436b00
15302144
hex22de6c

2285164 has 36 divisors (see below), whose sum is σ = 4740120. Its totient is φ = 960960.

The previous prime is 2285161. The next prime is 2285167. The reversal of 2285164 is 4615822.

It is an interprime number because it is at equal distance from previous prime (2285161) and next prime (2285167).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 216 + 218 + 84 + 59 + 1 + 6 + 44 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17379 + ... + 17509.

It is an arithmetic number, because the mean of its divisors is an integer number (131670).

22285164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370060).

2285164 is an abundant number, since it is smaller than the sum of its proper divisors (2454956).

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

2285164 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 9 representation: 2285164 = (4262581)9.

2285164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 229 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2285164 is about 1511.6758911883. The cubic root of 2285164 is about 131.7161792814.

The spelling of 2285164 in words is "two million, two hundred eighty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 89 98 131 178 196 262 356 524 623 917 1246 1834 2492 3668 4361 6419 8722 11659 12838 17444 23318 25676 46636 81613 163226 326452 571291 1142582 2285164