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34664854225 = 5223216192
BaseRepresentation
bin100000010010001011…
…111011001011010001
310022110212001001100211
4200102023323023101
51031443200313400
623531432044121
72335012253641
oct402213731321
9108425031324
1034664854225
1113779452061
126875233641
13336596b981
14196bbc8521
15d7d42cdba
hex8122fb2d1

34664854225 has 27 divisors (see below), whose sum is σ = 44962334683. Its totient is φ = 26509765040.

The previous prime is 34664854199. The next prime is 34664854327. The reversal of 34664854225 is 52245846643.

The square root of 34664854225 is 186185.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12479347521 + 22185506704 = 111711^2 + 148948^2 .

It is not a de Polignac number, because 34664854225 - 211 = 34664852177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21410466 + ... + 21412084.

Almost surely, 234664854225 is an apocalyptic number.

34664854225 is the 186185-th square number.

34664854225 is the 93093-rd centered octagonal number.

It is an amenable number.

34664854225 is a deficient number, since it is larger than the sum of its proper divisors (10297480458).

34664854225 is an frugal number, since it uses more digits than its factorization.

34664854225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 1647 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 49.

Multiplying 34664854225 by its sum of digits (49), we get a square (1698577857025 = 13032952).

The spelling of 34664854225 in words is "thirty-four billion, six hundred sixty-four million, eight hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 5 23 25 115 529 575 1619 2645 8095 13225 37237 40475 186185 856451 930925 2621161 4282255 13105805 21411275 60286703 65529025 301433515 1386594169 1507167575 6932970845 34664854225