Search a number
-
+
1022024112 = 243109195341
BaseRepresentation
bin111100111010101…
…101100110110000
32122020010012111220
4330322231212300
54043114232422
6245225305040
734220030064
oct7472554660
92566105456
101022024112
114849a692a
12246335180
1313397b9c5
1499a41aa4
155ead1e5c
hex3cead9b0

1022024112 has 40 divisors (see below), whose sum is σ = 2664464880. Its totient is φ = 337547520.

The previous prime is 1022024077. The next prime is 1022024123. The reversal of 1022024112 is 2114202201.

It is a junction number, because it is equal to n+sod(n) for n = 1022024091 and 1022024100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92439 + ... + 102902.

It is an arithmetic number, because the mean of its divisors is an integer number (66611622).

Almost surely, 21022024112 is an apocalyptic number.

1022024112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022024112 is an abundant number, since it is smaller than the sum of its proper divisors (1642440768).

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

1022024112 is a wasteful number, since it uses less digits than its factorization.

1022024112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195461 (or 195455 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1022024112 is about 31969.1118425270. Note that the first 3 decimals coincide. The cubic root of 1022024112 is about 1007.2881248621.

Adding to 1022024112 its reverse (2114202201), we get a palindrome (3136226313).

The spelling of 1022024112 in words is "one billion, twenty-two million, twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 327 436 654 872 1308 1744 2616 5232 195341 390682 586023 781364 1172046 1562728 2344092 3125456 4688184 9376368 21292169 42584338 63876507 85168676 127753014 170337352 255506028 340674704 511012056 1022024112