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225004013 = 13971091637
BaseRepresentation
bin11010110100101…
…00100111101101
3120200101101110222
431122110213231
5430100112023
634154341125
75401334243
oct1532244755
9520341428
10225004013
11106010933
126342a7a5
1337800290
1421c50793
1514b47cc8
hexd6949ed

225004013 has 16 divisors (see below), whose sum is σ = 247206960. Its totient is φ = 203544576.

The previous prime is 225004007. The next prime is 225004019. The reversal of 225004013 is 310400522.

It is an interprime number because it is at equal distance from previous prime (225004007) and next prime (225004019).

It can be written as a sum of positive squares in 8 ways, for example, as 38217124 + 186786889 = 6182^2 + 13667^2 .

It is a cyclic number.

It is not a de Polignac number, because 225004013 - 210 = 225002989 is a prime.

It is a super-2 number, since 2×2250040132 = 101253611732208338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225003982 and 225004000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225004019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136631 + ... + 138267.

It is an arithmetic number, because the mean of its divisors is an integer number (15450435).

Almost surely, 2225004013 is an apocalyptic number.

It is an amenable number.

225004013 is a deficient number, since it is larger than the sum of its proper divisors (22202947).

225004013 is a wasteful number, since it uses less digits than its factorization.

225004013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856.

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 225004013 is about 15000.1337660702. The cubic root of 225004013 is about 608.2238155176.

Adding to 225004013 its reverse (310400522), we get a palindrome (535404535).

The spelling of 225004013 in words is "two hundred twenty-five million, four thousand, thirteen".

Divisors: 1 13 97 109 1261 1417 1637 10573 21281 137449 158789 178433 2064257 2319629 17308001 225004013