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34221041225 = 5271711502871
BaseRepresentation
bin11111110111101110…
…111010011001001001
310021022220221000101022
4133313232322121021
51030041041304400
623415415402225
72321013023330
oct376756723111
9107286830338
1034221041225
1113570981858
126770683375
1332c4a2a127
141928c9ad17
15d544b2b85
hex7f7bba649

34221041225 has 24 divisors (see below), whose sum is σ = 51348820608. Its totient is φ = 22085510400.

The previous prime is 34221041221. The next prime is 34221041233. The reversal of 34221041225 is 52214012243.

It is not a de Polignac number, because 34221041225 - 22 = 34221041221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34221041194 and 34221041203.

It is not an unprimeable number, because it can be changed into a prime (34221041221) 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 23 ways as a sum of consecutive naturals, for example, 5748461 + ... + 5754410.

It is an arithmetic number, because the mean of its divisors is an integer number (2139534192).

Almost surely, 234221041225 is an apocalyptic number.

34221041225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34221041225 is a deficient number, since it is larger than the sum of its proper divisors (17127779383).

34221041225 is a wasteful number, since it uses less digits than its factorization.

34221041225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11502905 (or 11502900 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 34221041225 its reverse (52214012243), we get a palindrome (86435053468).

The spelling of 34221041225 in words is "thirty-four billion, two hundred twenty-one million, forty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 85 119 175 425 595 2975 11502871 57514355 80520097 195548807 287571775 402600485 977744035 1368841649 2013002425 4888720175 6844208245 34221041225