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1023324225 = 352711289181
BaseRepresentation
bin111100111111101…
…011000001000001
32122022120020221020
4330333223001001
54043432333400
6245313220053
734234053360
oct7477530101
92568506836
101023324225
11485704700
12246861629
131340156c1
1499c9d7d7
155ec8c2a0
hex3cfeb041

1023324225 has 144 divisors (see below), whose sum is σ = 2161111680. Its totient is φ = 418176000.

The previous prime is 1023324221. The next prime is 1023324251. The reversal of 1023324225 is 5224233201.

It is not a de Polignac number, because 1023324225 - 22 = 1023324221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1023324195 and 1023324204.

It is not an unprimeable number, because it can be changed into a prime (1023324221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5653635 + ... + 5653815.

It is an arithmetic number, because the mean of its divisors is an integer number (15007720).

Almost surely, 21023324225 is an apocalyptic number.

1023324225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1023324225 is an abundant number, since it is smaller than the sum of its proper divisors (1137787455).

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

1023324225 is a wasteful number, since it uses less digits than its factorization.

1023324225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1023324225 is about 31989.4392729851. The cubic root of 1023324225 is about 1007.7150663453.

Adding to 1023324225 its reverse (5224233201), we get a palindrome (6247557426).

The spelling of 1023324225 in words is "one billion, twenty-three million, three hundred twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 55 75 77 89 105 121 165 175 181 231 267 275 363 385 445 525 543 605 623 825 847 905 979 1155 1267 1335 1815 1869 1925 1991 2225 2541 2715 2937 3025 3115 3801 4235 4525 4895 5775 5973 6335 6675 6853 9075 9345 9955 10769 12705 13575 13937 14685 15575 16109 19005 20559 21175 21901 24475 29865 31675 32307 34265 41811 46725 48327 49775 53845 63525 65703 69685 73425 75383 80545 95025 102795 109505 112763 149325 153307 161535 171325 177199 209055 226149 241635 269225 328515 338289 348425 376915 402725 459921 513975 531597 547525 563815 766535 807675 885995 1045275 1130745 1208175 1240393 1642575 1691445 1884575 1949189 2299605 2657985 2819075 3721179 3832675 4429975 5653725 5847567 6201965 8457225 9745945 11498025 13289925 13644323 18605895 29237835 31009825 40932969 48729725 68221615 93029475 146189175 204664845 341108075 1023324225