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884380372225 = 52729722772
BaseRepresentation
bin11001101111010010010…
…11011000110100000001
310010112201222200210000221
430313221023120310001
5103442202333402400
61514140112343041
7120615525063100
oct14675113306401
93115658623027
10884380372225
11311077734309
12123495244a81
13655207615cc
1430b38b8a037
151801111dc1a
hexcde92d8d01

884380372225 has 81 divisors (see below), whose sum is σ = 1293630505083. Its totient is φ = 598013660160.

The previous prime is 884380372159. The next prime is 884380372327. The reversal of 884380372225 is 522273083488.

The square root of 884380372225 is 940415.

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

It can be written as a sum of positive squares in 13 ways, for example, as 836363291841 + 48017080384 = 914529^2 + 219128^2 .

It is not a de Polignac number, because 884380372225 - 217 = 884380241153 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3192708787 + ... + 3192709063.

Almost surely, 2884380372225 is an apocalyptic number.

884380372225 is the 940415-th square number.

884380372225 is the 470208-th centered octagonal number.

It is an amenable number.

884380372225 is a deficient number, since it is larger than the sum of its proper divisors (409250132858).

884380372225 is an frugal number, since it uses more digits than its factorization.

884380372225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 884380372225 in words is "eight hundred eighty-four billion, three hundred eighty million, three hundred seventy-two thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 97 175 245 277 485 679 1225 1385 1939 2425 3395 4753 6925 9409 9695 13573 16975 23765 26869 47045 48475 65863 67865 76729 118825 134345 188083 235225 329315 339325 383645 461041 537103 671725 940415 1316581 1646575 1918225 2305205 2606293 2685515 3759721 4702075 6582905 7442713 11526025 13031465 13427575 18244051 18798605 32914525 37213565 52098991 65157325 91220255 93993025 127708357 186067825 260494955 364692937 456101275 638541785 721943161 1302474775 1823464685 3192708925 3609715805 5053602127 9117323425 18048579025 25268010635 35375214889 126340053175 176876074445 884380372225