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1020024225 = 335211178081
BaseRepresentation
bin111100110011000…
…101010110100001
32122002100121012000
4330303011112201
54042111233400
6245114354213
734164030363
oct7463052641
92562317160
101020024225
11483860330
1224572b969
1313342b63c
1499680d33
155e839600
hex3ccc55a1

1020024225 has 96 divisors (see below), whose sum is σ = 2164682880. Its totient is φ = 465408000.

The previous prime is 1020024223. The next prime is 1020024241. The reversal of 1020024225 is 5224200201.

1020024225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1020024225 - 21 = 1020024223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020024198 and 1020024207.

It is not an unprimeable number, because it can be changed into a prime (1020024223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122185 + ... + 130265.

It is an arithmetic number, because the mean of its divisors is an integer number (22548780).

Almost surely, 21020024225 is an apocalyptic number.

1020024225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020024225 is an abundant number, since it is smaller than the sum of its proper divisors (1144658655).

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

1020024225 is a wasteful number, since it uses less digits than its factorization.

1020024225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1020024225 is about 31937.8181001771. The cubic root of 1020024225 is about 1006.6306785935.

Adding to 1020024225 its reverse (5224200201), we get a palindrome (6244224426).

The spelling of 1020024225 in words is "one billion, twenty million, twenty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 17 25 27 33 45 51 55 75 85 99 135 153 165 187 225 255 275 297 425 459 495 561 675 765 825 935 1275 1485 1683 2295 2475 2805 3825 4675 5049 7425 8081 8415 11475 14025 24243 25245 40405 42075 72729 88891 121215 126225 137377 202025 218187 266673 363645 412131 444455 606075 686885 800019 1090935 1236393 1333365 1511147 1818225 2060655 2222275 2400057 3434425 3709179 4000095 4533441 5454675 6181965 6666825 7555735 10303275 12000285 13600323 18545895 20000475 22667205 30909825 37778675 40800969 60001425 68001615 92729475 113336025 204004845 340008075 1020024225