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2323004220 = 22325193121911
BaseRepresentation
bin1000101001110110…
…0011101100111100
312222220010211201100
42022131203230330
514224142113340
61022302013100
7111365132025
oct21235435474
95886124640
102323004220
11a923034a9
12549b77190
132b036ab14
14180739c4c
15d8e17830
hex8a763b3c

2323004220 has 144 divisors (see below), whose sum is σ = 7656929280. Its totient is φ = 567907200.

The previous prime is 2323004191. The next prime is 2323004261. The reversal of 2323004220 is 224003232.

It is a super-2 number, since 2×23230042202 = 10792697212275616800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2323004193 and 2323004202.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 95065 + ... + 116975.

It is an arithmetic number, because the mean of its divisors is an integer number (53173120).

Almost surely, 22323004220 is an apocalyptic number.

2323004220 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 2323004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828464640).

2323004220 is an abundant number, since it is smaller than the sum of its proper divisors (5333925060).

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

2323004220 is a wasteful number, since it uses less digits than its factorization.

2323004220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21976 (or 21971 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2323004220 is about 48197.5540873186. The cubic root of 2323004220 is about 1324.3923583798.

Adding to 2323004220 its reverse (224003232), we get a palindrome (2547007452).

The spelling of 2323004220 in words is "two billion, three hundred twenty-three million, four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 31 36 38 45 57 60 62 76 90 93 95 114 124 155 171 180 186 190 228 279 285 310 342 372 380 465 558 570 589 620 684 855 930 1116 1140 1178 1395 1710 1767 1860 2356 2790 2945 3420 3534 5301 5580 5890 7068 8835 10602 11780 17670 21204 21911 26505 35340 43822 53010 65733 87644 106020 109555 131466 197199 219110 262932 328665 394398 416309 438220 657330 679241 788796 832618 985995 1248927 1314660 1358482 1665236 1971990 2037723 2081545 2497854 2716964 3396205 3746781 3943980 4075446 4163090 4995708 6113169 6244635 6792410 7493562 8150892 8326180 10188615 12226338 12489270 12905579 13584820 14987124 18733905 20377230 24452676 24978540 25811158 30565845 37467810 38716737 40754460 51622316 61131690 64527895 74935620 77433474 116150211 122263380 129055790 154866948 193583685 232300422 258111580 387167370 464600844 580751055 774334740 1161502110 2323004220