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2321012220 = 2235375711831
BaseRepresentation
bin1000101001010111…
…1101010111111100
312222202101122012120
42022111331113330
514223134342340
61022151202540
7111342164322
oct21225752774
95882348176
102321012220
11a9117291a
12549376450
132acb21217
1418037bd12
15d8b724d0
hex8a57d5fc

2321012220 has 96 divisors (see below), whose sum is σ = 6689819136. Its totient is φ = 600825600.

The previous prime is 2321012209. The next prime is 2321012251. The reversal of 2321012220 is 222101232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2321012220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266705 + ... + 1268535.

It is an arithmetic number, because the mean of its divisors is an integer number (69685616).

Almost surely, 22321012220 is an apocalyptic number.

2321012220 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 2321012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3344909568).

2321012220 is an abundant number, since it is smaller than the sum of its proper divisors (4368806916).

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

2321012220 is a wasteful number, since it uses less digits than its factorization.

2321012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2321012220 is about 48176.8847062572. The cubic root of 2321012220 is about 1324.0136901010.

Adding to 2321012220 its reverse (222101232), we get a palindrome (2543113452).

It can be divided in two parts, 2321012 and 220, that added together give a palindrome (2321232).

The spelling of 2321012220 in words is "two billion, three hundred twenty-one million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 571 740 1110 1142 1713 1831 2220 2284 2855 3426 3662 5493 5710 6852 7324 8565 9155 10986 11420 17130 18310 21127 21972 27465 34260 36620 42254 54930 63381 67747 84508 105635 109860 126762 135494 203241 211270 253524 270988 316905 338735 406482 422540 633810 677470 812964 1016205 1045501 1267620 1354940 2032410 2091002 3136503 4064820 4182004 5227505 6273006 10455010 12546012 15682515 20910020 31365030 38683537 62730060 77367074 116050611 154734148 193417685 232101222 386835370 464202444 580253055 773670740 1160506110 2321012220