Search a number
-
+
225842604957 = 32291078086891
BaseRepresentation
bin1101001001010101000…
…1001010101110011101
3210120221100201001000100
43102111101022232131
512200011201324312
6251430050451313
722213406316414
oct3222521125635
9716840631010
10225842604957
1187863298862
123792a293b39
13183b22a49b8
14ad0632447b
155d1c0d75dc
hex349544ab9d

225842604957 has 24 divisors (see below), whose sum is σ = 340619891040. Its totient is φ = 144011337120.

The previous prime is 225842604937. The next prime is 225842604959. The reversal of 225842604957 is 759406248522.

225842604957 is a `hidden beast` number, since 2 + 2 + 58 + 42 + 60 + 495 + 7 = 666.

225842604957 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 225842604957 - 230 = 224768863133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225842604959) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4015519 + ... + 4071372.

It is an arithmetic number, because the mean of its divisors is an integer number (14192495460).

Almost surely, 2225842604957 is an apocalyptic number.

It is an amenable number.

225842604957 is a deficient number, since it is larger than the sum of its proper divisors (114777286083).

225842604957 is a wasteful number, since it uses less digits than its factorization.

225842604957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8087033 (or 8087030 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 225842604957 in words is "two hundred twenty-five billion, eight hundred forty-two million, six hundred four thousand, nine hundred fifty-seven".

Divisors: 1 3 9 29 87 107 261 321 963 3103 9309 27927 8086891 24260673 72782019 234519839 703559517 865297337 2110678551 2595892011 7787676033 25093622773 75280868319 225842604957