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2248891601 = 11253350677
BaseRepresentation
bin1000011000001011…
…0101110011010001
312210201200112022112
42012002311303101
514101204012401
61011053315105
7106505156165
oct20602656321
95721615275
102248891601
11a54493600
12529195a95
1329abbc3b8
14174966ca5
15d26783bb
hex860b5cd1

2248891601 has 12 divisors (see below), whose sum is σ = 2518569396. Its totient is φ = 2005866720.

The previous prime is 2248891591. The next prime is 2248891633. The reversal of 2248891601 is 1061988422.

It can be written as a sum of positive squares in 2 ways, for example, as 918393025 + 1330498576 = 30305^2 + 36476^2 .

It is not a de Polignac number, because 2248891601 - 26 = 2248891537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2248891651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168926 + ... + 181751.

It is an arithmetic number, because the mean of its divisors is an integer number (209880783).

Almost surely, 22248891601 is an apocalyptic number.

It is an amenable number.

2248891601 is a deficient number, since it is larger than the sum of its proper divisors (269677795).

2248891601 is a wasteful number, since it uses less digits than its factorization.

2248891601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350752 (or 350741 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 2248891601 is about 47422.4799119574. The cubic root of 2248891601 is about 1310.1554893811.

The spelling of 2248891601 in words is "two billion, two hundred forty-eight million, eight hundred ninety-one thousand, six hundred one".

Divisors: 1 11 53 121 583 6413 350677 3857447 18585881 42431917 204444691 2248891601