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2230324040 = 235737921017
BaseRepresentation
bin1000010011110000…
…0000101101001000
312202102202012102002
42010330000231020
514031430332130
61005151330132
7106161304310
oct20474005510
95672665362
102230324040
11a44a6150a
12522b20948
132970bac89
141722d2440
15d0c0bb45
hex84f00b48

2230324040 has 64 divisors (see below), whose sum is σ = 5750524800. Its totient is φ = 762628608.

The previous prime is 2230324039. The next prime is 2230324067. The reversal of 2230324040 is 404230322.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 95612 + ... + 116628.

It is an arithmetic number, because the mean of its divisors is an integer number (89851950).

Almost surely, 22230324040 is an apocalyptic number.

2230324040 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 2230324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875262400).

2230324040 is an abundant number, since it is smaller than the sum of its proper divisors (3520200760).

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

2230324040 is a wasteful number, since it uses less digits than its factorization.

2230324040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21414 (or 21410 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2230324040 is about 47226.3066521192. The cubic root of 2230324040 is about 1306.5398342232.

Adding to 2230324040 its reverse (404230322), we get a palindrome (2634554362).

The spelling of 2230324040 in words is "two billion, two hundred thirty million, three hundred twenty-four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 379 758 1516 1895 2653 3032 3790 5306 7580 10612 13265 15160 21017 21224 26530 42034 53060 84068 105085 106120 147119 168136 210170 294238 420340 588476 735595 840680 1176952 1471190 2942380 5884760 7965443 15930886 31861772 39827215 55758101 63723544 79654430 111516202 159308860 223032404 278790505 318617720 446064808 557581010 1115162020 2230324040