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20254365235225 = 5211247217412
BaseRepresentation
bin1001001101011110101100…
…01111101011100000011001
32122201022001112112021202201
410212233112033223200121
510123321420000011400
6111024421003530201
74160221023604642
oct446572617534031
978638045467681
1020254365235225
1164a9912166100
122331521b29961
13b3bc94852c44
145004606d86c9
15251ce101d06a
hex126bd63eb819

20254365235225 has 81 divisors (see below), whose sum is σ = 28222271069853. Its totient is φ = 14408752776000.

The previous prime is 20254365235217. The next prime is 20254365235243. The reversal of 20254365235225 is 52253256345202.

It is a happy number.

The square root of 20254365235225 is 4500485.

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 12297723389721 + 7956641845504 = 3506811^2 + 2820752^2 .

It is not a de Polignac number, because 20254365235225 - 23 = 20254365235217 is a prime.

It is a super-2 number, since 2×202543652352252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

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, 11633752855 + ... + 11633754595.

Almost surely, 220254365235225 is an apocalyptic number.

20254365235225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20254365235225 is the 4500485-th square number.

20254365235225 is the 2250243-rd centered octagonal number.

It is an amenable number.

20254365235225 is a deficient number, since it is larger than the sum of its proper divisors (7967905834628).

20254365235225 is an frugal number, since it uses more digits than its factorization.

20254365235225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 46.

The spelling of 20254365235225 in words is "twenty trillion, two hundred fifty-four billion, three hundred sixty-five million, two hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 47 55 121 235 275 517 605 1175 1741 2209 2585 3025 5687 8705 11045 12925 19151 24299 28435 43525 55225 81827 95755 121495 142175 210661 267289 409135 478775 607475 900097 1053305 1336445 2045675 3031081 3845869 4500485 5266525 6682225 9901067 15155405 19229345 22502425 33341891 42304559 49505335 75777025 96146725 142460807 166709455 211522795 247526675 366760801 465350149 712304035 833547275 1057613975 1567068877 1833804005 2326750745 3561520175 6695657929 7835344385 9169020025 11633753725 17237757647 33478289645 39176721925 73652237219 86188788235 167391448225 368261186095 430943941175 810174609409 1841305930475 4050873047045 20254365235225