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2224042440 = 233526337039
BaseRepresentation
bin1000010010010000…
…0011000111001000
312201222221001200020
42010210003013020
514023323324230
61004404540440
7106054022514
oct20444030710
95658831606
102224042440
11a41461004
125209b1720
132959cba59
14171539144
15d03ba810
hex849031c8

2224042440 has 64 divisors (see below), whose sum is σ = 6675609600. Its totient is φ = 592768512.

The previous prime is 2224042409. The next prime is 2224042441. The reversal of 2224042440 is 442404222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2224042440.

It is not an unprimeable number, because it can be changed into a prime (2224042441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312441 + ... + 319479.

It is an arithmetic number, because the mean of its divisors is an integer number (104306400).

Almost surely, 22224042440 is an apocalyptic number.

2224042440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2224042440 is an abundant number, since it is smaller than the sum of its proper divisors (4451567160).

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

2224042440 is a wasteful number, since it uses less digits than its factorization.

2224042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9686 (or 9682 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 2224042440 is about 47159.7544522870. The cubic root of 2224042440 is about 1305.3120787374.

Adding to 2224042440 its reverse (442404222), we get a palindrome (2666446662).

The spelling of 2224042440 in words is "two billion, two hundred twenty-four million, forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2633 5266 7039 7899 10532 13165 14078 15798 21064 21117 26330 28156 31596 35195 39495 42234 52660 56312 63192 70390 78990 84468 105320 105585 140780 157980 168936 211170 281560 315960 422340 844680 18533687 37067374 55601061 74134748 92668435 111202122 148269496 185336870 222404244 278005305 370673740 444808488 556010610 741347480 1112021220 2224042440