Search a number
-
+
2326053020 = 2252373113613
BaseRepresentation
bin1000101010100100…
…1100000010011100
320000002212201212212
42022221030002130
514230432144040
61022451215552
7111433060454
oct21251140234
96002781785
102326053020
11a93aa6075
1254aba75b8
132b0b97745
14180cd0d64
15d931ad65
hex8aa4c09c

2326053020 has 96 divisors (see below), whose sum is σ = 5221141632. Its totient is φ = 868589568.

The previous prime is 2326053019. The next prime is 2326053049. The reversal of 2326053020 is 203506232.

It is a happy number.

It is a super-2 number, since 2×23260530202 = 10821045303702240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3794234 + ... + 3794846.

It is an arithmetic number, because the mean of its divisors is an integer number (54386892).

Almost surely, 22326053020 is an apocalyptic number.

2326053020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2326053020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610570816).

2326053020 is an abundant number, since it is smaller than the sum of its proper divisors (2895088612).

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

2326053020 is a wasteful number, since it uses less digits than its factorization.

2326053020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2326053020 is about 48229.1718776095. The cubic root of 2326053020 is about 1324.9714995650.

Adding to 2326053020 its reverse (203506232), we get a palindrome (2529559252).

The spelling of 2326053020 in words is "two billion, three hundred twenty-six million, fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 73 92 113 115 146 226 230 292 365 452 460 565 613 730 1130 1226 1460 1679 2260 2452 2599 3065 3358 5198 6130 6716 8249 8395 10396 12260 12995 14099 16498 16790 25990 28198 32996 33580 41245 44749 51980 56396 69269 70495 82490 89498 138538 140990 164980 178996 189727 223745 277076 281980 346345 379454 447490 692690 758908 894980 948635 1029227 1385380 1593187 1897270 2058454 3186374 3794540 4116908 5056637 5146135 6372748 7965935 10113274 10292270 15931870 20226548 20584540 25283185 31863740 50566370 101132740 116302651 232605302 465210604 581513255 1163026510 2326053020