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4312242220 = 22511136532309
BaseRepresentation
bin1000000010000011…
…11001100000101100
3102010112020121020211
410001001321200230
532312413222340
61551522152204
7211601311516
oct40101714054
912115217224
104312242220
11191316a450
12a041b2664
13539517820
142cc9d2bb6
151a38a15ea
hex10107982c

4312242220 has 96 divisors (see below), whose sum is σ = 10659781440. Its totient is φ = 1444623360.

The previous prime is 4312242211. The next prime is 4312242251. The reversal of 4312242220 is 222422134.

It is a super-3 number, since 3×43122422203 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4312242191 and 4312242200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866426 + ... + 1868734.

It is an arithmetic number, because the mean of its divisors is an integer number (111039390).

Almost surely, 24312242220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312242220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329890720).

4312242220 is an abundant number, since it is smaller than the sum of its proper divisors (6347539220).

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

4312242220 is a wasteful number, since it uses less digits than its factorization.

4312242220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4312242220 is about 65667.6649501107. The cubic root of 4312242220 is about 1627.6750851238.

Adding to 4312242220 its reverse (222422134), we get a palindrome (4534664354).

The spelling of 4312242220 in words is "four billion, three hundred twelve million, two hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 653 715 1306 1430 2309 2612 2860 3265 4618 6530 7183 8489 9236 11545 13060 14366 16978 23090 25399 28732 30017 33956 35915 42445 46180 50798 60034 71830 84890 93379 101596 120068 126995 143660 150085 169780 186758 253990 300170 330187 373516 466895 507980 600340 660374 933790 1320748 1507777 1650935 1867580 3015554 3301870 6031108 6603740 7538885 15077770 16585547 19601101 30155540 33171094 39202202 66342188 78404404 82927735 98005505 165855470 196011010 215612111 331710940 392022020 431224222 862448444 1078060555 2156121110 4312242220