Search a number
-
+
2290071368 = 2313192181337
BaseRepresentation
bin1000100001111111…
…1011011101001000
312220121011200100002
42020133323131020
514142224240433
61015124102132
7110515166624
oct21037733510
95817150302
102290071368
11a7575a572
1253ab34948
132a65a9c20
1417a206184
15d60ae9e8
hex887fb748

2290071368 has 96 divisors (see below), whose sum is σ = 4921895160. Its totient is φ = 992839680.

The previous prime is 2290071367. The next prime is 2290071373. The reversal of 2290071368 is 8631700922.

It can be written as a sum of positive squares in 4 ways, for example, as 571305604 + 1718765764 = 23902^2 + 41458^2 .

It is a super-3 number, since 3×22900713683 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (2290071367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6795296 + ... + 6795632.

Almost surely, 22290071368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2290071368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460947580).

2290071368 is an abundant number, since it is smaller than the sum of its proper divisors (2631823792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2290071368 is a wasteful number, since it uses less digits than its factorization.

2290071368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2290071368 is about 47854.6901358686. The cubic root of 2290071368 is about 1318.1039828373.

The spelling of 2290071368 in words is "two billion, two hundred ninety million, seventy-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 181 247 337 361 362 494 674 722 724 988 1348 1444 1448 1976 2353 2696 2888 3439 4381 4693 4706 6403 6878 8762 9386 9412 12806 13756 17524 18772 18824 25612 27512 35048 37544 44707 51224 60997 65341 83239 89414 121657 121994 130682 166478 178828 243314 243988 261364 332956 357656 486628 487976 522728 665912 792961 849433 973256 1158943 1581541 1585922 1698866 2317886 3163082 3171844 3397732 4635772 6326164 6343688 6795464 9271544 12652328 15066259 22019917 30132518 44039834 60265036 88079668 120530072 176159336 286258921 572517842 1145035684 2290071368