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2258245441 = 475212
BaseRepresentation
bin1000011010011010…
…0001011101000001
312211101021202101001
42012212201131001
514111102323231
61012030012001
7106650524644
oct20646413501
95741252331
102258245441
11a597a2251
12530347001
1329cb15b0a
14175cbda5b
15d33c4b61
hex869a1741

2258245441 has 3 divisors (see below), whose sum is σ = 2258292963. Its totient is φ = 2258197920.

The previous prime is 2258245421. The next prime is 2258245447. The reversal of 2258245441 is 1445428522.

The square root of 2258245441 is 47521.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1445428522 = 2722714261.

It can be written as a sum of positive squares in only one way, i.e., 2018615041 + 239630400 = 44929^2 + 15480^2 .

It is not a de Polignac number, because 2258245441 - 219 = 2257721153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2258245441.

It is not an unprimeable number, because it can be changed into a prime (2258245447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 23761 + ... + 71281.

It is an arithmetic number, because the mean of its divisors is an integer number (752764321).

Almost surely, 22258245441 is an apocalyptic number.

2258245441 is the 47521-st square number.

2258245441 is the 23761-st centered octagonal number.

It is an amenable number.

2258245441 is a deficient number, since it is larger than the sum of its proper divisors (47522).

2258245441 is an frugal number, since it uses more digits than its factorization.

2258245441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95042 (or 47521 counting only the distinct ones).

The product of its digits is 102400, while the sum is 37.

The cubic root of 2258245441 is about 1311.9694249223.

Multiplying 2258245441 by its product of digits (102400), we get a square (231244333158400 = 152067202).

The spelling of 2258245441 in words is "two billion, two hundred fifty-eight million, two hundred forty-five thousand, four hundred forty-one".

Divisors: 1 47521 2258245441