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2231315340 = 2235376116477
BaseRepresentation
bin1000010011111111…
…0010101110001100
312202111121120012220
42010333302232030
514032204042330
61005224455340
7106202603352
oct20477625614
95674546186
102231315340
11a45579271
1252331a550
13297377247
141724ad7d2
15d0d55710
hex84ff2b8c

2231315340 has 96 divisors (see below), whose sum is σ = 6522124224. Its totient is φ = 569410560.

The previous prime is 2231315321. The next prime is 2231315363. The reversal of 2231315340 is 435131322.

It is a super-3 number, since 3×22313153403 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2231315340.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127182 + ... + 143658.

It is an arithmetic number, because the mean of its divisors is an integer number (67938794).

Almost surely, 22231315340 is an apocalyptic number.

2231315340 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 2231315340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3261062112).

2231315340 is an abundant number, since it is smaller than the sum of its proper divisors (4290808884).

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

2231315340 is a wasteful number, since it uses less digits than its factorization.

2231315340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16587 (or 16585 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2231315340 is about 47236.8006960675. The cubic root of 2231315340 is about 1306.7333757708.

Adding to 2231315340 its reverse (435131322), we get a palindrome (2666446662).

The spelling of 2231315340 in words is "two billion, two hundred thirty-one million, three hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 61 74 111 122 148 183 185 222 244 305 366 370 444 555 610 732 740 915 1110 1220 1830 2220 2257 3660 4514 6771 9028 11285 13542 16477 22570 27084 32954 33855 45140 49431 65908 67710 82385 98862 135420 164770 197724 247155 329540 494310 609649 988620 1005097 1219298 1828947 2010194 2438596 3015291 3048245 3657894 4020388 5025485 6030582 6096490 7315788 9144735 10050970 12061164 12192980 15076455 18289470 20101940 30152910 36578940 37188589 60305820 74377178 111565767 148754356 185942945 223131534 371885890 446263068 557828835 743771780 1115657670 2231315340