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1222141024 = 25133197977
BaseRepresentation
bin100100011011000…
…0110010001100000
310011011200012022101
41020312012101200
510000332003044
6321134420144
742200012236
oct11066062140
93134605271
101222141024
11577959705
122a1361654
13166277290
14b8454956
1572460cd4
hex48d86460

1222141024 has 96 divisors (see below), whose sum is σ = 2705101056. Its totient is φ = 539688960.

The previous prime is 1222141013. The next prime is 1222141031. The reversal of 1222141024 is 4201412221.

It is a junction number, because it is equal to n+sod(n) for n = 1222140992 and 1222141010.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1250424 + ... + 1251400.

It is an arithmetic number, because the mean of its divisors is an integer number (28178136).

Almost surely, 21222141024 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 1222141024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352550528).

1222141024 is an abundant number, since it is smaller than the sum of its proper divisors (1482960032).

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

1222141024 is a wasteful number, since it uses less digits than its factorization.

1222141024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1222141024 is about 34959.1336277088. The cubic root of 1222141024 is about 1069.1544325574.

Adding to 1222141024 its reverse (4201412221), we get a palindrome (5423553245).

The spelling of 1222141024 in words is "one billion, two hundred twenty-two million, one hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 97 104 124 194 208 248 388 403 416 496 776 806 977 992 1261 1552 1612 1954 2522 3007 3104 3224 3908 5044 6014 6448 7816 10088 12028 12701 12896 15632 20176 24056 25402 30287 31264 39091 40352 48112 50804 60574 78182 94769 96224 101608 121148 156364 189538 203216 242296 312728 379076 393731 406432 484592 625456 758152 787462 969184 1231997 1250912 1516304 1574924 2463994 2937839 3032608 3149848 4927988 5875678 6299696 9855976 11751356 12599392 19711952 23502712 38191907 39423904 47005424 76383814 94010848 152767628 305535256 611070512 1222141024