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10223343225 = 325289510529
BaseRepresentation
bin10011000010101101…
…11101011001111001
3222101111000122102200
421201112331121321
5131414133440400
64410241420413
7511225661244
oct114126753171
928344018380
1010223343225
1143768a1097
121b9393a709
13c6c058824
146cdaa025b
153ec7c8b00
hex2615bd679

10223343225 has 36 divisors (see below), whose sum is σ = 18516923100. Its totient is φ = 5391175680.

The previous prime is 10223343199. The next prime is 10223343239. The reversal of 10223343225 is 52234332201.

10223343225 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 334 + 322 + 5 = 666.

10223343225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 663783696 + 9559559529 = 25764^2 + 97773^2 .

It is not a de Polignac number, because 10223343225 - 210 = 10223342201 is a prime.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 235240 + ... + 275289.

It is an arithmetic number, because the mean of its divisors is an integer number (514358975).

Almost surely, 210223343225 is an apocalyptic number.

10223343225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10223343225 is a deficient number, since it is larger than the sum of its proper divisors (8293579875).

10223343225 is a wasteful number, since it uses less digits than its factorization.

10223343225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510634 (or 510626 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10223343225 its reverse (52234332201), we get a palindrome (62457675426).

The spelling of 10223343225 in words is "ten billion, two hundred twenty-three million, three hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 89 225 267 445 801 1335 2225 4005 6675 20025 510529 1531587 2552645 4594761 7657935 12763225 22973805 38289675 45437081 114869025 136311243 227185405 408933729 681556215 1135927025 2044668645 3407781075 10223343225