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10224311244 = 22371394092141
BaseRepresentation
bin10011000010110101…
…01001101111001100
3222101112211211022020
421201122221233030
5131414410424434
64410314250140
7511240132410
oct114132515714
928345754266
1010224311244
1143773a2404
121b94126950
13c6c307314
146cdc72d40
153ec91a849
hex2616a9bcc

10224311244 has 96 divisors (see below), whose sum is σ = 27540979200. Its totient is φ = 2891773440.

The previous prime is 10224311231. The next prime is 10224311281. The reversal of 10224311244 is 44211342201.

10224311244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4774414 + ... + 4776554.

It is an arithmetic number, because the mean of its divisors is an integer number (286885200).

Almost surely, 210224311244 is an apocalyptic number.

10224311244 is a gapful number since it is divisible by the number (14) 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 10224311244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13770489600).

10224311244 is an abundant number, since it is smaller than the sum of its proper divisors (17316667956).

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

10224311244 is a wasteful number, since it uses less digits than its factorization.

10224311244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10224311244 its reverse (44211342201), we get a palindrome (54435653445).

The spelling of 10224311244 in words is "ten billion, two hundred twenty-four million, three hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 409 417 556 818 834 973 1227 1636 1668 1946 2141 2454 2863 2919 3892 4282 4908 5726 5838 6423 8564 8589 11452 11676 12846 14987 17178 25692 29974 34356 44961 56851 59948 89922 113702 170553 179844 227404 297599 341106 397957 595198 682212 795914 875669 892797 1190396 1193871 1591828 1751338 1785594 2083193 2387742 2627007 3502676 3571188 4166386 4775484 5254014 6129683 6249579 8332772 10508028 12259366 12499158 18389049 24518732 24998316 36778098 73556196 121717991 243435982 365153973 486871964 730307946 852025937 1460615892 1704051874 2556077811 3408103748 5112155622 10224311244