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2224406822248 = 2313372572249293
BaseRepresentation
bin100000010111101000111…
…110100111110101101000
321212122120201212120101001
4200113220332213311220
5242421041121302443
64421513422004344
7316464606010162
oct40275076476550
97778521776331
102224406822248
1178840272a866
122bb1314166b4
131319b723c4b0
147993a229932
153ccde002d4d
hex205e8fa7d68

2224406822248 has 64 divisors (see below), whose sum is σ = 4630936458960. Its totient is φ = 995014803456.

The previous prime is 2224406822207. The next prime is 2224406822269. The reversal of 2224406822248 is 8422286044222.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1390658864644 + 833747957604 = 1179262^2 + 913098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2224406822198 and 2224406822207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135711 + ... + 2113582.

Almost surely, 22224406822248 is an apocalyptic number.

It is an amenable number.

2224406822248 is an abundant number, since it is smaller than the sum of its proper divisors (2406529636712).

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

2224406822248 is a wasteful number, since it uses less digits than its factorization.

2224406822248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249606 (or 2249602 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 46.

The spelling of 2224406822248 in words is "two trillion, two hundred twenty-four billion, four hundred six million, eight hundred twenty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 257 296 481 514 962 1028 1924 2056 3341 3848 6682 9509 13364 19018 26728 38036 76072 123617 247234 494468 988936 2249293 4498586 8997172 17994344 29240809 58481618 83223841 116963236 166447682 233926472 332895364 578068301 665790728 1081909933 1156136602 2163819866 2312273204 4327639732 4624546408 7514887913 8655279464 15029775826 21388527137 30059551652 42777054274 60119103304 85554108548 171108217096 278050852781 556101705562 1112203411124 2224406822248