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1225404024 = 2331343241379
BaseRepresentation
bin100100100001010…
…0010111001111000
310011101210222022020
41021002202321320
510002200412044
6321332354440
742236522325
oct11102427170
93141728266
101225404024
115797881a9
122a2475a20
13166b4a550
14b8a63b4c
15728a7a19
hex490a2e78

1225404024 has 128 divisors (see below), whose sum is σ = 3398841600. Its totient is φ = 365783040.

The previous prime is 1225404017. The next prime is 1225404029. The reversal of 1225404024 is 4204045221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1225403985 and 1225404003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225404029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3233067 + ... + 3233445.

It is an arithmetic number, because the mean of its divisors is an integer number (26553450).

Almost surely, 21225404024 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 1225404024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699420800).

1225404024 is an abundant number, since it is smaller than the sum of its proper divisors (2173437576).

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

1225404024 is a wasteful number, since it uses less digits than its factorization.

1225404024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1225404024 is about 35005.7712956021. The cubic root of 1225404024 is about 1070.1051004573.

Adding to 1225404024 its reverse (4204045221), we get a palindrome (5429449245).

The spelling of 1225404024 in words is "one billion, two hundred twenty-five million, four hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 241 258 312 344 379 482 516 559 723 758 964 1032 1118 1137 1446 1516 1677 1928 2236 2274 2892 3032 3133 3354 4472 4548 4927 5784 6266 6708 9096 9399 9854 10363 12532 13416 14781 16297 18798 19708 20726 25064 29562 31089 32594 37596 39416 41452 48891 59124 62178 65188 75192 82904 91339 97782 118248 124356 130376 134719 182678 195564 211861 248712 269438 274017 365356 391128 404157 423722 538876 548034 635583 730712 808314 847444 1077752 1096068 1187407 1271166 1616628 1694888 2192136 2374814 2542332 3233256 3562221 3927577 4749628 5084664 7124442 7855154 9499256 11782731 14248884 15710308 23565462 28497768 31420616 47130924 51058501 94261848 102117002 153175503 204234004 306351006 408468008 612702012 1225404024