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4190620225 = 521141072
BaseRepresentation
bin1111100111000111…
…1100101001000001
3101211001101120020111
43321301330221001
532040244321400
61531455311321
7205563453451
oct37161745101
911731346214
104190620225
111860550000
1298b51b541
1351a27354c
142ba7b3d61
15197d7a3ba
hexf9c7ca41

4190620225 has 45 divisors (see below), whose sum is σ = 5769890035. Its totient is φ = 3019240400.

The previous prime is 4190620163. The next prime is 4190620243. The reversal of 4190620225 is 5220260914.

The square root of 4190620225 is 64735.

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

It can be written as a sum of positive squares in only one way, i.e., 1508623281 + 2681996944 = 38841^2 + 51788^2 .

It is not a de Polignac number, because 4190620225 - 211 = 4190618177 is a prime.

It is a super-2 number, since 2×41906202252 = 35122595740358101250, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39164622 + ... + 39164728.

Almost surely, 24190620225 is an apocalyptic number.

4190620225 is the 64735-th square number.

4190620225 is the 32368-th centered octagonal number.

It is an amenable number.

4190620225 is a deficient number, since it is larger than the sum of its proper divisors (1579269810).

4190620225 is an frugal number, since it uses more digits than its factorization.

4190620225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 4190620225 is about 1612.2266716175.

The spelling of 4190620225 in words is "four billion, one hundred ninety million, six hundred twenty thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 107 121 275 535 605 1177 1331 2675 3025 5885 6655 11449 12947 14641 29425 33275 57245 64735 73205 125939 142417 286225 323675 366025 629695 712085 1385329 1566587 3148475 3560425 6926645 7832935 15238619 34633225 39164675 76193095 167624809 380965475 838124045 4190620225