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981223425 = 3252713172819
BaseRepresentation
bin111010011111000…
…100100000000001
32112101100022111100
4322133010200001
54002143122200
6241211005013
733213155460
oct7237044001
92471308440
10981223425
11463969756
12234739769
131283948a0
14944609d7
155b222d00
hex3a7c4801

981223425 has 144 divisors (see below), whose sum is σ = 2291103360. Its totient is φ = 389560320.

The previous prime is 981223361. The next prime is 981223457. The reversal of 981223425 is 524322189.

It is a happy number.

981223425 is a `hidden beast` number, since 9 + 8 + 1 + 223 + 425 = 666.

It is not a de Polignac number, because 981223425 - 26 = 981223361 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 981223425.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 346666 + ... + 349484.

It is an arithmetic number, because the mean of its divisors is an integer number (15910440).

Almost surely, 2981223425 is an apocalyptic number.

It is an amenable number.

981223425 is an abundant number, since it is smaller than the sum of its proper divisors (1309879935).

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

981223425 is a wasteful number, since it uses less digits than its factorization.

981223425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2864 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 981223425 is about 31324.4860293030. The cubic root of 981223425 is about 993.7015545388.

The spelling of 981223425 in words is "nine hundred eighty-one million, two hundred twenty-three thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 17 21 25 35 39 45 51 63 65 75 85 91 105 117 119 153 175 195 221 225 255 273 315 325 357 425 455 525 585 595 663 765 819 975 1071 1105 1275 1365 1547 1575 1785 1989 2275 2819 2925 2975 3315 3825 4095 4641 5355 5525 6825 7735 8457 8925 9945 13923 14095 16575 19733 20475 23205 25371 26775 36647 38675 42285 47923 49725 59199 69615 70475 98665 109941 116025 126855 143769 177597 183235 211425 239615 256529 295995 329823 335461 348075 431307 493325 549705 622999 634275 718845 769587 887985 916175 1006383 1198075 1282645 1479975 1649115 1677305 1868997 2156535 2308761 2748525 3019149 3114995 3594225 3847935 4360993 4439925 5031915 5606991 6413225 8245575 8386525 9344985 10782675 11543805 13082979 15095745 15574975 19239675 21804965 25159575 28034955 39248937 46724925 57719025 65414895 75478725 109024825 140174775 196244685 327074475 981223425