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217151340025 = 52931992
BaseRepresentation
bin1100101000111100111…
…0100111110111111001
3202202111122120000220011
43022033032213313321
512024211220340100
6243431414501521
721455132635534
oct3121716476771
9682448500804
10217151340025
11841032a7884
12361036648a1
1317628790399
14a71dd17a1b
1559ae092bba
hex328f3a7df9

217151340025 has 9 divisors (see below), whose sum is σ = 269270550831. Its totient is φ = 173719208040.

The previous prime is 217151339983. The next prime is 217151340037. The reversal of 217151340025 is 520043151712.

The square root of 217151340025 is 465995.

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., 78174482409 + 138976857616 = 279597^2 + 372796^2 .

It is not a de Polignac number, because 217151340025 - 213 = 217151331833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2283376 + ... + 2376574.

Almost surely, 2217151340025 is an apocalyptic number.

217151340025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

217151340025 is the 465995-th square number.

217151340025 is the 232998-th centered octagonal number.

It is an amenable number.

217151340025 is a deficient number, since it is larger than the sum of its proper divisors (52119210806).

217151340025 is an frugal number, since it uses more digits than its factorization.

217151340025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186408 (or 93204 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

Adding to 217151340025 its reverse (520043151712), we get a palindrome (737194491737).

The spelling of 217151340025 in words is "two hundred seventeen billion, one hundred fifty-one million, three hundred forty thousand, twenty-five".

Divisors: 1 5 25 93199 465995 2329975 8686053601 43430268005 217151340025