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2224453980 = 2235723124407
BaseRepresentation
bin1000010010010110…
…0111100101011100
312202000200222012110
42010211213211130
514023430011410
61004421434020
7106060355400
oct20445474534
95660628173
102224453980
11a41712221
12520b6b910
13295b14178
14171605100
15d044c720
hex8496795c

2224453980 has 144 divisors (see below), whose sum is σ = 7479392256. Its totient is φ = 492024960.

The previous prime is 2224453969. The next prime is 2224454003. The reversal of 2224453980 is 893544222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78937 + ... + 103343.

It is an arithmetic number, because the mean of its divisors is an integer number (51940224).

Almost surely, 22224453980 is an apocalyptic number.

2224453980 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 2224453980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739696128).

2224453980 is an abundant number, since it is smaller than the sum of its proper divisors (5254938276).

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

2224453980 is a wasteful number, since it uses less digits than its factorization.

2224453980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24464 (or 24455 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2224453980 is about 47164.1175047302. The cubic root of 2224453980 is about 1305.3925860444.

The spelling of 2224453980 in words is "two billion, two hundred twenty-four million, four hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 49 60 62 70 84 93 98 105 124 140 147 155 186 196 210 217 245 294 310 372 420 434 465 490 588 620 651 735 868 930 980 1085 1302 1470 1519 1860 2170 2604 2940 3038 3255 4340 4557 6076 6510 7595 9114 13020 15190 18228 22785 24407 30380 45570 48814 73221 91140 97628 122035 146442 170849 244070 292884 341698 366105 488140 512547 683396 732210 756617 854245 1025094 1195943 1464420 1513234 1708490 2050188 2269851 2391886 2562735 3026468 3416980 3587829 3783085 4539702 4783772 5125470 5296319 5979715 7175658 7566170 9079404 10250940 10592638 11349255 11959430 14351316 15132340 15888957 17939145 21185276 22698510 23918860 26481595 31777914 35878290 37074233 45397020 52963190 63555828 71756580 74148466 79444785 105926380 111222699 148296932 158889570 185371165 222445398 317779140 370742330 444890796 556113495 741484660 1112226990 2224453980