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2231134440 = 2335101184087
BaseRepresentation
bin1000010011111100…
…0110100011101000
312202111021101001220
42010333012203220
514032132300230
61005220542040
7106201221063
oct20477064350
95674241056
102231134440
11a45465367
12523251920
13297312ac2
141724638da
15d0d1bd10
hex84fc68e8

2231134440 has 64 divisors (see below), whose sum is σ = 6759711360. Its totient is φ = 589075200.

The previous prime is 2231134439. The next prime is 2231134441. The reversal of 2231134440 is 444311322.

It is an interprime number because it is at equal distance from previous prime (2231134439) and next prime (2231134441).

It is a super-3 number, since 3×22311344403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2231134440.

It is not an unprimeable number, because it can be changed into a prime (2231134441) 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, 79924 + ... + 104163.

It is an arithmetic number, because the mean of its divisors is an integer number (105620490).

Almost surely, 22231134440 is an apocalyptic number.

2231134440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2231134440 is an abundant number, since it is smaller than the sum of its proper divisors (4528576920).

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

2231134440 is a wasteful number, since it uses less digits than its factorization.

2231134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184202 (or 184198 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2231134440 is about 47234.8858366356. The cubic root of 2231134440 is about 1306.6980611065.

Adding to 2231134440 its reverse (444311322), we get a palindrome (2675445762).

The spelling of 2231134440 in words is "two billion, two hundred thirty-one million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 6060 12120 184087 368174 552261 736348 920435 1104522 1472696 1840870 2209044 2761305 3681740 4418088 5522610 7363480 11045220 18592787 22090440 37185574 55778361 74371148 92963935 111556722 148742296 185927870 223113444 278891805 371855740 446226888 557783610 743711480 1115567220 2231134440