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2240320324 = 22112191791361
BaseRepresentation
bin1000010110001000…
…1001001101000100
312210010120001201211
42011202021031010
514042010222244
61010145501204
7106342260064
oct20542111504
95703501654
102240320324
11a4a669900
12526341804
132991aac38
141737753a4
15d1a33934
hex85889344

2240320324 has 72 divisors (see below), whose sum is σ = 4564879200. Its totient is φ = 958636800.

The previous prime is 2240320301. The next prime is 2240320337. The reversal of 2240320324 is 4230230422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2240320295 and 2240320304.

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 23 ways as a sum of consecutive naturals, for example, 1645404 + ... + 1646764.

It is an arithmetic number, because the mean of its divisors is an integer number (63401100).

Almost surely, 22240320324 is an apocalyptic number.

It is an amenable number.

2240320324 is an abundant number, since it is smaller than the sum of its proper divisors (2324558876).

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

2240320324 is a wasteful number, since it uses less digits than its factorization.

2240320324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2240320324 is about 47332.0221837183. The cubic root of 2240320324 is about 1308.4888902125.

Adding to 2240320324 its reverse (4230230422), we get a palindrome (6470550746).

The spelling of 2240320324 in words is "two billion, two hundred forty million, three hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 121 179 209 242 358 418 484 716 836 1361 1969 2299 2722 3401 3938 4598 5444 6802 7876 9196 13604 14971 21659 25859 29942 37411 43318 51718 59884 74822 86636 103436 149644 164681 243619 284449 329362 411521 487238 568898 658724 823042 974476 1137796 1646084 2679809 3128939 4628761 5359618 6257878 9257522 10719236 12515756 18515044 29477899 50916371 58955798 101832742 117911596 203665484 560080081 1120160162 2240320324