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225937261941 = 31719569409781
BaseRepresentation
bin1101001001101011101…
…0010000010101110101
3210121011221211002222120
43102122322100111311
512200204414340231
6251443311350153
722215636016326
oct3223272202565
9717157732876
10225937261941
118790176aa76
1237955b22359
13183c8a97551
14ad14b2444d
155d25583d96
hex349ae90575

225937261941 has 32 divisors (see below), whose sum is σ = 336349065600. Its totient is φ = 134066903040.

The previous prime is 225937261937. The next prime is 225937261967. The reversal of 225937261941 is 149162739522.

225937261941 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 225937261941 - 22 = 225937261937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225937261241) 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 31 ways as a sum of consecutive naturals, for example, 346471 + ... + 756251.

It is an arithmetic number, because the mean of its divisors is an integer number (10510908300).

Almost surely, 2225937261941 is an apocalyptic number.

It is an amenable number.

225937261941 is a deficient number, since it is larger than the sum of its proper divisors (110411803659).

225937261941 is a wasteful number, since it uses less digits than its factorization.

225937261941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410389.

The product of its digits is 1632960, while the sum is 51.

The spelling of 225937261941 in words is "two hundred twenty-five billion, nine hundred thirty-seven million, two hundred sixty-one thousand, nine hundred forty-one".

Divisors: 1 3 17 19 51 57 323 569 969 1707 9673 10811 29019 32433 183787 409781 551361 1229343 6966277 7785839 20898831 23357517 132359263 233165389 397077789 699496167 3963811613 4430142391 11891434839 13290427173 75312420647 225937261941