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2288808 = 233283383
BaseRepresentation
bin1000101110110010101000
311022021122200
420232302220
51041220213
6121020200
725311624
oct10566250
94267580
102288808
111323685
12924660
13621a32
14438184
15303273
hex22eca8

2288808 has 48 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 751776.

The previous prime is 2288807. The next prime is 2288809. The reversal of 2288808 is 8088822.

It is an interprime number because it is at equal distance from previous prime (2288807) and next prime (2288809).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2288801) 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, 5785 + ... + 6167.

It is an arithmetic number, because the mean of its divisors is an integer number (131040).

22288808 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 2288808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2288808 is an abundant number, since it is smaller than the sum of its proper divisors (4001112).

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

2288808 is a wasteful number, since it uses less digits than its factorization.

2288808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2288808 is about 1512.8806958911. The cubic root of 2288808 is about 131.7861551279.

The spelling of 2288808 in words is "two million, two hundred eighty-eight thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 383 498 664 747 766 996 1149 1494 1532 1992 2298 2988 3064 3447 4596 5976 6894 9192 13788 27576 31789 63578 95367 127156 190734 254312 286101 381468 572202 762936 1144404 2288808