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348613489225 = 5226324492
BaseRepresentation
bin1010001001010101111…
…10111011001001001001
31020022211110210011011001
411010222332323021021
521202430023123400
6424052324535001
734120652523541
oct5045276731111
91208743704131
10348613489225
11124934254281
1257691b51461
1326b49563951
1412c31672321
159105475a6a
hex512afbb249

348613489225 has 27 divisors (see below), whose sum is σ = 434899219573. Its totient is φ = 277211594240.

The previous prime is 348613489187. The next prime is 348613489253. The reversal of 348613489225 is 522984316843.

It is a happy number.

The square root of 348613489225 is 590435.

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

It can be written as a sum of positive squares in 4 ways, for example, as 310499641 + 348302989584 = 17621^2 + 590172^2 .

It is not a de Polignac number, because 348613489225 - 27 = 348613489097 is a prime.

It is a super-2 number, since 2×3486134892252 (a number of 24 digits) contains 22 as substring.

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, 776421801 + ... + 776422249.

Almost surely, 2348613489225 is an apocalyptic number.

348613489225 is the 590435-th square number.

348613489225 is the 295218-th centered octagonal number.

It is an amenable number.

348613489225 is a deficient number, since it is larger than the sum of its proper divisors (86285730348).

348613489225 is an frugal number, since it uses more digits than its factorization.

348613489225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 717 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 55.

The spelling of 348613489225 in words is "three hundred forty-eight billion, six hundred thirteen million, four hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 263 449 1315 2245 6575 11225 69169 118087 201601 345845 590435 1008005 1729225 2952175 5040025 31056881 53021063 155284405 265105315 776422025 1325526575 13944539569 69722697845 348613489225