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2253116089 = 7267812
BaseRepresentation
bin1000011001001011…
…1101001010111001
312211000122011020001
42012102331022321
514103244203324
61011324033001
7106556112400
oct20622751271
95730564201
102253116089
11a56909514
1252a692761
1329ba3b1b3
14175346637
15d2c0ee44
hex864bd2b9

2253116089 has 9 divisors (see below), whose sum is σ = 2621358351. Its totient is φ = 1930957560.

The previous prime is 2253116077. The next prime is 2253116101. The reversal of 2253116089 is 9806113522.

The square root of 2253116089 is 47467.

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

2253116089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2253116077) and next prime (2253116101).

It can be written as a sum of positive squares in only one way, i.e., 978626089 + 1274490000 = 31283^2 + 35700^2 .

It is not a de Polignac number, because 2253116089 - 25 = 2253116057 is a prime.

It is a super-2 number, since 2×22531160892 = 10153064221021311842, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2253116389) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 328879 + ... + 335659.

It is an arithmetic number, because the mean of its divisors is an integer number (291262039).

Almost surely, 22253116089 is an apocalyptic number.

2253116089 is the 47467-th square number.

2253116089 is the 23734-th centered octagonal number.

It is an amenable number.

2253116089 is a deficient number, since it is larger than the sum of its proper divisors (368242262).

2253116089 is an frugal number, since it uses more digits than its factorization.

2253116089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13576 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The cubic root of 2253116089 is about 1310.9753412777.

The spelling of 2253116089 in words is "two billion, two hundred fifty-three million, one hundred sixteen thousand, eighty-nine".

Divisors: 1 7 49 6781 47467 332269 45981961 321873727 2253116089