Search a number
-
+
2023421310 = 23458330097
BaseRepresentation
bin111100010011010…
…1111010101111110
312020000102110020000
41320212233111332
513120443440220
6532440535130
7101066540331
oct17046572576
95200373200
102023421310
11949194419
124857814a6
13263287b21
14152a34618
15bc98c390
hex789af57e

2023421310 has 80 divisors (see below), whose sum is σ = 5506489296. Its totient is φ = 533060352.

The previous prime is 2023421269. The next prime is 2023421317. The reversal of 2023421310 is 131243202.

It is a super-2 number, since 2×20234213102 = 8188467595524232200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2023421317) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52182 + ... + 82278.

Almost surely, 22023421310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2023421310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753244648).

2023421310 is an abundant number, since it is smaller than the sum of its proper divisors (3483067986).

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

2023421310 is a wasteful number, since it uses less digits than its factorization.

2023421310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30199 (or 30190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2023421310 is about 44982.4555799258. The cubic root of 2023421310 is about 1264.8201424263.

Adding to 2023421310 its reverse (131243202), we get a palindrome (2154664512).

The spelling of 2023421310 in words is "two billion, twenty-three million, four hundred twenty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 83 90 135 162 166 249 270 405 415 498 747 810 830 1245 1494 2241 2490 3735 4482 6723 7470 11205 13446 22410 30097 33615 60194 67230 90291 150485 180582 270873 300970 451455 541746 812619 902910 1354365 1625238 2437857 2498051 2708730 4063095 4875714 4996102 7494153 8126190 12189285 12490255 14988306 22482459 24378570 24980510 37470765 44964918 67447377 74941530 112412295 134894754 202342131 224824590 337236885 404684262 674473770 1011710655 2023421310