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2231135520 = 253537125627
BaseRepresentation
bin1000010011111100…
…0110110100100000
312202111021102112220
42010333012310200
514032132314040
61005220551040
7106201224165
oct20477066440
95674242486
102231135520
11a45466159
12523252480
13297313443
1417246406c
15d0d1c2d0
hex84fc6d20

2231135520 has 96 divisors (see below), whose sum is σ = 7218082368. Its totient is φ = 578884608.

The previous prime is 2231135507. The next prime is 2231135527. The reversal of 2231135520 is 255311322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×22311355203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2231135527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45054 + ... + 80573.

It is an arithmetic number, because the mean of its divisors is an integer number (75188358).

Almost surely, 22231135520 is an apocalyptic number.

2231135520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231135520 is an abundant number, since it is smaller than the sum of its proper divisors (4986946848).

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

2231135520 is a wasteful number, since it uses less digits than its factorization.

2231135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125682 (or 125674 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2231135520 is about 47234.8972688626. The cubic root of 2231135520 is about 1306.6982719460.

Adding to 2231135520 its reverse (255311322), we get a palindrome (2486446842).

The spelling of 2231135520 in words is "two billion, two hundred thirty-one million, one hundred thirty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 125627 251254 376881 502508 628135 753762 1005016 1256270 1507524 1884405 2010032 2512540 3015048 3768810 4020064 4648199 5025080 6030096 7537620 9296398 10050160 12060192 13944597 15075240 18592796 20100320 23240995 27889194 30150480 37185592 46481990 55778388 60300960 69722985 74371184 92963980 111556776 139445970 148742368 185927960 223113552 278891940 371855920 446227104 557783880 743711840 1115567760 2231135520