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34225852243 = 1127313728283
BaseRepresentation
bin11111111000000001…
…010000111101010011
310021100020222102212011
4133320001100331103
51030043304232433
623420110443351
72321101641532
oct377001207523
9107306872764
1034225852243
1113573668400
126772203557
1332c5a22b9b
141929790319
15d54b133cd
hex7f8050f53

34225852243 has 24 divisors (see below), whose sum is σ = 38415215664. Its totient is φ = 30463107840.

The previous prime is 34225852237. The next prime is 34225852249.

34225852243 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (34225852237) and next prime (34225852249).

It is not a de Polignac number, because 34225852243 - 25 = 34225852211 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34225852196 and 34225852205.

It is not an unprimeable number, because it can be changed into a prime (34225852249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1195980 + ... + 1224262.

It is an arithmetic number, because the mean of its divisors is an integer number (1600633986).

Almost surely, 234225852243 is an apocalyptic number.

34225852243 is a deficient number, since it is larger than the sum of its proper divisors (4189363421).

34225852243 is a wasteful number, since it uses less digits than its factorization.

34225852243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28515 (or 28504 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The spelling of 34225852243 in words is "thirty-four billion, two hundred twenty-five million, eight hundred fifty-two thousand, two hundred forty-three".

Divisors: 1 11 73 121 137 803 1507 8833 10001 16577 28283 110011 311113 1210121 2064659 3422243 3874771 22711249 42622481 249823739 282858283 468847291 3111441113 34225852243