Search a number
-
+
2281482 = 232719953
BaseRepresentation
bin1000101101000000001010
311021220121100
420231000022
51041001412
6120522230
725251360
oct10550012
94256540
102281482
111319125
12920376
1361b5b8
14435630
15300edc
hex22d00a

2281482 has 48 divisors (see below), whose sum is σ = 5952960. Its totient is φ = 616896.

The previous prime is 2281481. The next prime is 2281493. The reversal of 2281482 is 2841822.

It is a super-3 number, since 3×22814823 = 35626437337533336504, which contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2281481) 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 23 ways as a sum of consecutive naturals, for example, 1918 + ... + 2870.

It is an arithmetic number, because the mean of its divisors is an integer number (124020).

22281482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2281482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976480).

2281482 is an abundant number, since it is smaller than the sum of its proper divisors (3671478).

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

2281482 is a wasteful number, since it uses less digits than its factorization.

2281482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 984 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 2281482 is about 1510.4575465732. The cubic root of 2281482 is about 131.6453981206.

It can be divided in two parts, 228148 and 2, that added together give a triangular number (228150 = T675).

The spelling of 2281482 in words is "two million, two hundred eighty-one thousand, four hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 953 1197 1906 2394 2859 5718 6671 8577 13342 17154 18107 20013 36214 40026 54321 60039 108642 120078 126749 162963 253498 325926 380247 760494 1140741 2281482