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2238480 = 243253109
BaseRepresentation
bin1000100010100000010000
311012201121200
420202200100
51033112410
6115551200
725012116
oct10424020
94181550
102238480
111299892
128bb500
13604b5a
14423ab6
152e33c0
hex222810

2238480 has 60 divisors (see below), whose sum is σ = 7519980. Its totient is φ = 596736.

The previous prime is 2238473. The next prime is 2238487. The reversal of 2238480 is 848322.

It is an interprime number because it is at equal distance from previous prime (2238473) and next prime (2238487).

It can be written as a sum of positive squares in 2 ways, for example, as 589824 + 1648656 = 768^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (2238487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 835 + ... + 2274.

It is an arithmetic number, because the mean of its divisors is an integer number (125333).

22238480 is an apocalyptic number.

2238480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2238480 is an abundant number, since it is smaller than the sum of its proper divisors (5281500).

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

2238480 is a wasteful number, since it uses less digits than its factorization.

2238480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2238480 is about 1496.1550721767. The cubic root of 2238480 is about 130.8130503490.

The spelling of 2238480 in words is "two million, two hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3109 6218 9327 12436 15545 18654 24872 27981 31090 37308 46635 49744 55962 62180 74616 93270 111924 124360 139905 149232 186540 223848 248720 279810 373080 447696 559620 746160 1119240 2238480