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8073022500 = 2232545992
BaseRepresentation
bin1111000010011000…
…01000110000100100
3202211121211000221100
413201030020300210
5113013143210000
63413024520100
7404025362514
oct74114106044
922747730840
108073022500
113473013324
121693780030
139b86cc5ba
14568275844
15323b21a00
hex1e1308c24

8073022500 has 135 divisors (see below), whose sum is σ = 25542988471. Its totient is φ = 2149212000.

The previous prime is 8073022493. The next prime is 8073022513. The reversal of 8073022500 is 52203708.

The square root of 8073022500 is 89850.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 632924964 + 7440097536 = 25158^2 + 86256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13477201 + ... + 13477799.

Almost surely, 28073022500 is an apocalyptic number.

8073022500 is the 89850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8073022500

8073022500 is an abundant number, since it is smaller than the sum of its proper divisors (17469965971).

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

8073022500 is an equidigital number, since it uses as much as digits as its factorization.

8073022500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The cubic root of 8073022500 is about 2006.0667867747.

The spelling of 8073022500 in words is "eight billion, seventy-three million, twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 599 625 750 900 1125 1198 1250 1500 1797 1875 2250 2396 2500 2995 3594 3750 4500 5391 5625 5990 7188 7500 8985 10782 11250 11980 14975 17970 21564 22500 26955 29950 35940 44925 53910 59900 74875 89850 107820 134775 149750 179700 224625 269550 299500 358801 374375 449250 539100 673875 717602 748750 898500 1076403 1123125 1347750 1435204 1497500 1794005 2152806 2246250 2695500 3229209 3369375 3588010 4305612 4492500 5382015 6458418 6738750 7176020 8970025 10764030 12916836 13477500 16146045 17940050 21528060 26910075 32292090 35880100 44850125 53820150 64584180 80730225 89700250 107640300 134550375 161460450 179400500 224250625 269100750 322920900 403651125 448501250 538201500 672751875 807302250 897002500 1345503750 1614604500 2018255625 2691007500 4036511250 8073022500