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2193891921 = 3213212012
BaseRepresentation
bin1000001011000100…
…0010001001010001
312122220012020221100
42002301002021101
513443114020141
61001410415013
7105236526234
oct20261021121
95586166840
102193891921
11a26438521
12512891469
1328c6a3400
1416b52b41b
15cc9120b6
hex82c42251

2193891921 has 27 divisors (see below), whose sum is σ = 3434331537. Its totient is φ = 1348963200.

The previous prime is 2193891913. The next prime is 2193891937. The reversal of 2193891921 is 1291983912.

The square root of 2193891921 is 46839.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1803276225 + 390615696 = 42465^2 + 19764^2 .

It is not a de Polignac number, because 2193891921 - 23 = 2193891913 is a prime.

It is a super-2 number, since 2×21938919212 = 9626323522058140482, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2193891121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1826121 + ... + 1827321.

Almost surely, 22193891921 is an apocalyptic number.

2193891921 is the 46839-th square number.

2193891921 is the 23420-th centered octagonal number.

It is an amenable number.

2193891921 is a deficient number, since it is larger than the sum of its proper divisors (1240439616).

2193891921 is an equidigital number, since it uses as much as digits as its factorization.

2193891921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 1217 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The cubic root of 2193891921 is about 1299.3866773547.

The spelling of 2193891921 in words is "two billion, one hundred ninety-three million, eight hundred ninety-one thousand, nine hundred twenty-one".

Divisors: 1 3 9 13 39 117 169 507 1201 1521 3603 10809 15613 46839 140517 202969 608907 1442401 1826721 4327203 12981609 18751213 56253639 168760917 243765769 731297307 2193891921