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220904700025 = 52232612672
BaseRepresentation
bin1100110110111011110…
…0100011100001111001
3210010012020011110212111
43031232330203201321
512104403100400100
6245252054212321
721650136653212
oct3155674434171
9703166143774
10220904700025
1185759a42799
12369906540a1
1317aa6277869
14a9985c8409
155b2d8496ba
hex336ef23879

220904700025 has 81 divisors (see below), whose sum is σ = 295530422733. Its totient is φ = 163787342400.

The previous prime is 220904699993. The next prime is 220904700041. The reversal of 220904700025 is 520007409022.

The square root of 220904700025 is 470005.

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

It can be written as a sum of positive squares in 4 ways, for example, as 101752706169 + 119151993856 = 318987^2 + 345184^2 .

It is not a de Polignac number, because 220904700025 - 25 = 220904699993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 220904700025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3297085042 + ... + 3297085108.

Almost surely, 2220904700025 is an apocalyptic number.

220904700025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

220904700025 is the 470005-th square number.

220904700025 is the 235003-rd centered octagonal number.

It is an amenable number.

220904700025 is a deficient number, since it is larger than the sum of its proper divisors (74625722708).

220904700025 is an frugal number, since it uses more digits than its factorization.

220904700025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The spelling of 220904700025 in words is "two hundred twenty billion, nine hundred four million, seven hundred thousand, twenty-five".

Divisors: 1 5 23 25 61 67 115 305 335 529 575 1403 1525 1541 1675 2645 3721 4087 4489 7015 7705 13225 18605 20435 22445 32269 35075 35443 38525 85583 93025 94001 102175 103247 112225 161345 177215 249307 273829 427915 470005 516235 806725 886075 1246535 1369145 1968409 2139575 2162023 2350025 2374681 2581175 5734061 6232675 6298067 6845725 9842045 10810115 11873405 16703569 28670305 31490335 49210225 54050575 59367025 83517845 131883403 143351525 144855541 157451675 384182087 417589225 659417015 724277705 1920910435 3297085075 3621388525 8836188001 9604552175 44180940005 220904700025