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2288057441 = 61326089
BaseRepresentation
bin1000100001100000…
…1111110001100001
312220110101100202012
42020120033301201
514141220314231
61015013002305
7110462111255
oct21030176141
95813340665
102288057441
11a7460446a
1253a323395
132a6053357
14179c40265
15d5d12e2b
hex8860fc61

2288057441 has 6 divisors (see below), whose sum is σ = 2292172470. Its totient is φ = 2283949728.

The previous prime is 2288057417. The next prime is 2288057459. The reversal of 2288057441 is 1447508822.

It can be written as a sum of positive squares in 3 ways, for example, as 489958225 + 1798099216 = 22135^2 + 42404^2 .

It is not a de Polignac number, because 2288057441 - 26 = 2288057377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2288057491) 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 5 ways as a sum of consecutive naturals, for example, 372725 + ... + 378813.

It is an arithmetic number, because the mean of its divisors is an integer number (382028745).

Almost surely, 22288057441 is an apocalyptic number.

It is an amenable number.

2288057441 is a deficient number, since it is larger than the sum of its proper divisors (4115029).

2288057441 is an frugal number, since it uses more digits than its factorization.

2288057441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 41.

The square root of 2288057441 is about 47833.6434008533. The cubic root of 2288057441 is about 1317.7174819660.

The spelling of 2288057441 in words is "two billion, two hundred eighty-eight million, fifty-seven thousand, four hundred forty-one".

Divisors: 1 613 6089 375769 3732557 2288057441