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34223421025 = 5237531933617
BaseRepresentation
bin11111110111110111…
…111111011001100001
310021100002101220212001
4133313313333121201
51030042143433100
623415542404001
72321042164453
oct376767773141
9107302356761
1034223421025
1113572257832
126771430601
1332c53813b1
14192931a2d3
15d547d2d6a
hex7f7dff661

34223421025 has 48 divisors (see below), whose sum is σ = 44648753904. Its totient is φ = 25993543680.

The previous prime is 34223421007. The next prime is 34223421049. The reversal of 34223421025 is 52012432243.

It can be written as a sum of positive squares in 24 ways, for example, as 26567696016 + 7655725009 = 162996^2 + 87497^2 .

It is not a de Polignac number, because 34223421025 - 25 = 34223420993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34223420984 and 34223421002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9460017 + ... + 9463633.

It is an arithmetic number, because the mean of its divisors is an integer number (930182373).

Almost surely, 234223421025 is an apocalyptic number.

It is an amenable number.

34223421025 is a deficient number, since it is larger than the sum of its proper divisors (10425332879).

34223421025 is a wasteful number, since it uses less digits than its factorization.

34223421025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 34223421025 its reverse (52012432243), we get a palindrome (86235853268).

The spelling of 34223421025 in words is "thirty-four billion, two hundred twenty-three million, four hundred twenty-one thousand, twenty-five".

Divisors: 1 5 25 37 53 185 193 265 925 965 1325 1961 3617 4825 7141 9805 10229 18085 35705 49025 51145 90425 133829 178525 191701 255725 378473 669145 698081 958505 1892365 3345725 3490405 4792525 7092937 9461825 17452025 25828997 35464685 36998293 129144985 177323425 184991465 645724925 924957325 1368936841 6844684205 34223421025