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225743437071 = 32146221171539
BaseRepresentation
bin1101001000111101011…
…0110111110100001111
3210120200110002210020200
43102033112313310033
512144310304441241
6251412145144543
722211063361255
oct3221726676417
9716613083220
10225743437071
1187812315529
123790102b153
1318397892b89
14acd70ac5d5
155d135494b6
hex348f5b7d0f

225743437071 has 12 divisors (see below), whose sum is σ = 326077984440. Its totient is φ = 150493718160.

The previous prime is 225743437037. The next prime is 225743437093. The reversal of 225743437071 is 170734347522.

225743437071 is a `hidden beast` number, since 2 + 2 + 574 + 3 + 4 + 3 + 7 + 0 + 71 = 666.

It is not a de Polignac number, because 225743437071 - 215 = 225743404303 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225743432071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1230220 + ... + 1401758.

It is an arithmetic number, because the mean of its divisors is an integer number (27173165370).

Almost surely, 2225743437071 is an apocalyptic number.

225743437071 is a deficient number, since it is larger than the sum of its proper divisors (100334547369).

225743437071 is a wasteful number, since it uses less digits than its factorization.

225743437071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317766 (or 317763 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 225743437071 in words is "two hundred twenty-five billion, seven hundred forty-three million, four hundred thirty-seven thousand, seventy-one".

Divisors: 1 3 9 146221 171539 438663 514617 1315989 1543851 25082604119 75247812357 225743437071