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2224139680 = 25572577727
BaseRepresentation
bin1000010010010001…
…1010110110100000
312202000010000001201
42010210122312200
514023334432210
61004411010544
7106054606150
oct20444326640
95660100051
102224139680
11a41518074
12520a39a54
13295a340a9
14171562760
15d03d953a
hex8491ada0

2224139680 has 96 divisors (see below), whose sum is σ = 6029323776. Its totient is φ = 759496704.

The previous prime is 2224139663. The next prime is 2224139689. The reversal of 2224139680 is 869314222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2224139689) 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, 283977 + ... + 291703.

It is an arithmetic number, because the mean of its divisors is an integer number (62805456).

Almost surely, 22224139680 is an apocalyptic number.

2224139680 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 2224139680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3014661888).

2224139680 is an abundant number, since it is smaller than the sum of its proper divisors (3805184096).

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

2224139680 is a wasteful number, since it uses less digits than its factorization.

2224139680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8006 (or 7998 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 2224139680 is about 47160.7854048255. The cubic root of 2224139680 is about 1305.3311021599.

The spelling of 2224139680 in words is "two billion, two hundred twenty-four million, one hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 257 280 514 560 1028 1120 1285 1799 2056 2570 3598 4112 5140 7196 7727 8224 8995 10280 14392 15454 17990 20560 28784 30908 35980 38635 41120 54089 57568 61816 71960 77270 108178 123632 143920 154540 216356 247264 270445 287840 309080 432712 540890 618160 865424 1081780 1236320 1730848 1985839 2163560 3971678 4327120 7943356 8654240 9929195 13900873 15886712 19858390 27801746 31773424 39716780 55603492 63546848 69504365 79433560 111206984 139008730 158867120 222413968 278017460 317734240 444827936 556034920 1112069840 2224139680