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2224033140 = 223578363799
BaseRepresentation
bin1000010010010000…
…0000110101110100
312201222220120220210
42010210000311310
514023323030030
61004404425420
7106053653430
oct20444006564
95658816823
102224033140
11a4145501a
125209a8270
132959c7754
141715359c0
15d03b7bb0
hex84900d74

2224033140 has 96 divisors (see below), whose sum is σ = 7202764800. Its totient is φ = 502217856.

The previous prime is 2224033129. The next prime is 2224033157. The reversal of 2224033140 is 413304222.

It is a super-3 number, since 3×22240331403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2961 + ... + 66759.

It is an arithmetic number, because the mean of its divisors is an integer number (75028800).

Almost surely, 22224033140 is an apocalyptic number.

2224033140 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 2224033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3601382400).

2224033140 is an abundant number, since it is smaller than the sum of its proper divisors (4978731660).

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

2224033140 is a wasteful number, since it uses less digits than its factorization.

2224033140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63901 (or 63899 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2224033140 is about 47159.6558511616. The cubic root of 2224033140 is about 1305.3102593148.

Adding to 2224033140 its reverse (413304222), we get a palindrome (2637337362).

The spelling of 2224033140 in words is "two billion, two hundred twenty-four million, thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3486 4980 5810 6972 8715 11620 17430 34860 63799 127598 191397 255196 318995 382794 446593 637990 765588 893186 956985 1275980 1339779 1786372 1913970 2232965 2679558 3827940 4465930 5295317 5359116 6698895 8931860 10590634 13397790 15885951 21181268 26476585 26795580 31771902 37067219 52953170 63543804 74134438 79429755 105906340 111201657 148268876 158859510 185336095 222403314 317719020 370672190 444806628 556008285 741344380 1112016570 2224033140