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2230480 = 24572569
BaseRepresentation
bin1000100000100011010000
311012022122101
420200203100
51032333410
6115450144
724646600
oct10404320
94168571
102230480
11129387a
128b6954
13601315
14420c00
152e0d3a
hex2208d0

2230480 has 60 divisors (see below), whose sum is σ = 6043140. Its totient is φ = 763392.

The previous prime is 2230469. The next prime is 2230483. The reversal of 2230480 is 840322.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 571536 + 1658944 = 756^2 + 1288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230483) 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, 3636 + ... + 4204.

It is an arithmetic number, because the mean of its divisors is an integer number (100719).

22230480 is an apocalyptic number.

2230480 is a gapful number since it is divisible by the number (20) 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 2230480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021570).

2230480 is an abundant number, since it is smaller than the sum of its proper divisors (3812660).

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

2230480 is a wasteful number, since it uses less digits than its factorization.

2230480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2230480 is about 1493.4791595466. The cubic root of 2230480 is about 130.6570287676.

The spelling of 2230480 in words is "two million, two hundred thirty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 569 784 980 1138 1960 2276 2845 3920 3983 4552 5690 7966 9104 11380 15932 19915 22760 27881 31864 39830 45520 55762 63728 79660 111524 139405 159320 223048 278810 318640 446096 557620 1115240 2230480