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248220025 = 522321372
BaseRepresentation
bin11101100101110…
…00100101111001
3122022001212212021
432302320211321
51002021020100
640344114441
76102556354
oct1662704571
9568055767
10248220025
11118128419
126b165a21
133c56b471
1424d7529b
1516bd1a1a
hexecb8979

248220025 has 27 divisors (see below), whose sum is σ = 324122701. Its totient is φ = 188555840.

The previous prime is 248219987. The next prime is 248220029. The reversal of 248220025 is 520022842.

The square root of 248220025 is 15755.

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 724201 + 247495824 = 851^2 + 15732^2 .

It is not a de Polignac number, because 248220025 - 27 = 248219897 is a prime.

It is a super-2 number, since 2×2482200252 = 123226361622001250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (248220029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1811757 + ... + 1811893.

Almost surely, 2248220025 is an apocalyptic number.

248220025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

248220025 is the 15755-th square number.

248220025 is the 7878-th centered octagonal number.

It is an amenable number.

248220025 is a deficient number, since it is larger than the sum of its proper divisors (75902676).

248220025 is an equidigital number, since it uses as much as digits as its factorization.

248220025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The cubic root of 248220025 is about 628.4618772454.

Multiplying 248220025 by its sum of digits (25), we get a square (6205500625 = 787752).

248220025 divided by its sum of digits (25) gives a square (9928801 = 31512).

Adding to 248220025 its reverse (520022842), we get a palindrome (768242867).

The spelling of 248220025 in words is "two hundred forty-eight million, two hundred twenty thousand, twenty-five".

Divisors: 1 5 23 25 115 137 529 575 685 2645 3151 3425 13225 15755 18769 72473 78775 93845 362365 431687 469225 1811825 2158435 9928801 10792175 49644005 248220025