Search a number
-
+
2231228520 = 2332519326203
BaseRepresentation
bin1000010011111101…
…1101100001101000
312202111110011010100
42010333131201220
514032143303040
61005222545400
7106202062263
oct20477354150
95674404110
102231228520
11a4551a014
12523298260
13297346881
14172489cda
15d0d39b30
hex84fdd868

2231228520 has 96 divisors (see below), whose sum is σ = 7633173600. Its totient is φ = 563677056.

The previous prime is 2231228513. The next prime is 2231228567. The reversal of 2231228520 is 258221322.

2231228520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22312285203 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156262 + ... + 169941.

It is an arithmetic number, because the mean of its divisors is an integer number (79512225).

Almost surely, 22231228520 is an apocalyptic number.

2231228520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231228520 is an abundant number, since it is smaller than the sum of its proper divisors (5401945080).

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

2231228520 is a wasteful number, since it uses less digits than its factorization.

2231228520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326239 (or 326232 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2231228520 is about 47235.8817002499. The cubic root of 2231228520 is about 1306.7164273127.

Adding to 2231228520 its reverse (258221322), we get a palindrome (2489449842).

The spelling of 2231228520 in words is "two billion, two hundred thirty-one million, two hundred twenty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 326203 652406 978609 1304812 1631015 1957218 2609624 2935827 3262030 3914436 4893045 5871654 6197857 6524060 7828872 9786090 11743308 12395714 13048120 14679135 18593571 19572180 23486616 24791428 29358270 30989285 37187142 39144360 49582856 55780713 58716540 61978570 74374284 92967855 111561426 117433080 123957140 148748568 185935710 223122852 247914280 278903565 371871420 446245704 557807130 743742840 1115614260 2231228520