Search a number
-
+
2242520 = 23578009
BaseRepresentation
bin1000100011011111011000
311012221011022
420203133120
51033230040
6120022012
725026650
oct10433730
94187138
102242520
1112a1925
12901908
13606947
14425360
152e46b5
hex2237d8

2242520 has 32 divisors (see below), whose sum is σ = 5767200. Its totient is φ = 768768.

The previous prime is 2242519. The next prime is 2242529. The reversal of 2242520 is 252422.

2242520 = 5632 + 5642 + ... + 5692.

2242520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3725 + ... + 4284.

It is an arithmetic number, because the mean of its divisors is an integer number (180225).

22242520 is an apocalyptic number.

2242520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242520 is an abundant number, since it is smaller than the sum of its proper divisors (3524680).

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

2242520 is a wasteful number, since it uses less digits than its factorization.

2242520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8023 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2242520 is about 1497.5045909779. The cubic root of 2242520 is about 130.8917000139.

Adding to 2242520 its reverse (252422), we get a palindrome (2494942).

It can be divided in two parts, 224 and 2520, that added together give a cube (2744 = 143).

The spelling of 2242520 in words is "two million, two hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 8009 16018 32036 40045 56063 64072 80090 112126 160180 224252 280315 320360 448504 560630 1121260 2242520