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2293164769 = 7268412
BaseRepresentation
bin1000100010101110…
…1110101011100001
312220210222211200111
42020223232223201
514144022233034
61015314251321
7110553402400
oct21053565341
95823884614
102293164769
11a774826a5
1253bb86b41
132a7120c3c
1417a7ad637
15d64c1364
hex88aeeae1

2293164769 has 9 divisors (see below), whose sum is σ = 2667949011. Its totient is φ = 1965282480.

The previous prime is 2293164761. The next prime is 2293164803. The reversal of 2293164769 is 9674613922.

The square root of 2293164769 is 47887.

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

2293164769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1739974369 + 553190400 = 41713^2 + 23520^2 .

It is not a de Polignac number, because 2293164769 - 23 = 2293164761 is a prime.

It is a super-2 number, since 2×22931647692 = 10517209315565646722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2293164761) 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, 331789 + ... + 338629.

It is an arithmetic number, because the mean of its divisors is an integer number (296438779).

Almost surely, 22293164769 is an apocalyptic number.

2293164769 is the 47887-th square number.

2293164769 is the 23944-th centered octagonal number.

It is an amenable number.

2293164769 is a deficient number, since it is larger than the sum of its proper divisors (374784242).

2293164769 is an frugal number, since it uses more digits than its factorization.

2293164769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13696 (or 6848 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

The cubic root of 2293164769 is about 1318.6972088389.

Multiplying 2293164769 by its sum of digits (49), we get a square (112365073681 = 3352092).

2293164769 divided by its sum of digits (49) gives a square (46799281 = 68412).

The spelling of 2293164769 in words is "two billion, two hundred ninety-three million, one hundred sixty-four thousand, seven hundred sixty-nine".

Divisors: 1 7 49 6841 47887 335209 46799281 327594967 2293164769