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4205300225 = 52759676079
BaseRepresentation
bin1111101010100111…
…1100101000000001
3101212002000101102012
43322221330220001
532103024101400
61533142102305
7206132314340
oct37251745001
911762011365
104205300225
111868867335
1299441a995
13520313339
142bc715b57
151992c9d35
hexfaa7ca01

4205300225 has 48 divisors (see below), whose sum is σ = 6151987200. Its totient is φ = 2791990080.

The previous prime is 4205300213. The next prime is 4205300261. The reversal of 4205300225 is 5220035024.

4205300225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4205300225 - 218 = 4205038081 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4205300225.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 688736 + ... + 694814.

It is an arithmetic number, because the mean of its divisors is an integer number (128166400).

Almost surely, 24205300225 is an apocalyptic number.

It is an amenable number.

4205300225 is a deficient number, since it is larger than the sum of its proper divisors (1946686975).

4205300225 is a wasteful number, since it uses less digits than its factorization.

4205300225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6222 (or 6217 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 4205300225 is about 64848.2862148261. The cubic root of 4205300225 is about 1614.1070539720.

Adding to 4205300225 its reverse (5220035024), we get a palindrome (9425335249).

The spelling of 4205300225 in words is "four billion, two hundred five million, three hundred thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 59 67 175 295 335 413 469 1475 1675 2065 2345 3953 6079 10325 11725 19765 27671 30395 42553 98825 138355 151975 212765 358661 407293 691775 1063825 1793305 2036465 2510627 2851051 8966525 10182325 12553135 14255255 24030287 62765675 71276275 120151435 168212009 600757175 841060045 4205300225