Search a number
-
+
2281608 = 23347503
BaseRepresentation
bin1000101101000010001000
311021220210000
420231002020
51041002413
6120523000
725251630
oct10550210
94256700
102281608
11131922a
12920460
1361b684
144356c0
15301073
hex22d088

2281608 has 80 divisors (see below), whose sum is σ = 7318080. Its totient is φ = 650592.

The previous prime is 2281607. The next prime is 2281619. The reversal of 2281608 is 8061822.

2281608 = T257 + T258 + ... + T312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2281607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4285 + ... + 4787.

It is an arithmetic number, because the mean of its divisors is an integer number (91476).

22281608 is an apocalyptic number.

2281608 is a gapful number since it is divisible by the number (28) 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 2281608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659040).

2281608 is an abundant number, since it is smaller than the sum of its proper divisors (5036472).

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

2281608 is a wasteful number, since it uses less digits than its factorization.

2281608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2281608 is about 1510.4992552133. The cubic root of 2281608 is about 131.6478215476.

The spelling of 2281608 in words is "two million, two hundred eighty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 503 504 567 648 756 1006 1134 1509 1512 2012 2268 3018 3521 4024 4527 4536 6036 7042 9054 10563 12072 13581 14084 18108 21126 27162 28168 31689 36216 40743 42252 54324 63378 81486 84504 95067 108648 126756 162972 190134 253512 285201 325944 380268 570402 760536 1140804 2281608