Search a number
-
+
1985070822 = 237299111789
BaseRepresentation
bin111011001010001…
…1100011011100110
312010100021001020120
41312110130123212
513031134231242
6524550542410
7100122552330
oct16624343346
95110231216
101985070822
119295800a9
12474967a06
1325834b027
1414b8d0450
15b94141ec
hex7651c6e6

1985070822 has 64 divisors (see below), whose sum is σ = 4701542400. Its totient is φ = 546698880.

The previous prime is 1985070817. The next prime is 1985070853. The reversal of 1985070822 is 2280705891.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1108704 + ... + 1110492.

It is an arithmetic number, because the mean of its divisors is an integer number (73461600).

Almost surely, 21985070822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1985070822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350771200).

1985070822 is an abundant number, since it is smaller than the sum of its proper divisors (2716471578).

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

1985070822 is a wasteful number, since it uses less digits than its factorization.

1985070822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741.

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 1985070822 is about 44554.1336129433. The cubic root of 1985070822 is about 1256.7782861248.

The spelling of 1985070822 in words is "one billion, nine hundred eighty-five million, seventy thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 911 1218 1789 1822 2733 3578 5367 5466 6377 10734 12523 12754 19131 25046 26419 37569 38262 51881 52838 75138 79257 103762 155643 158514 184933 311286 363167 369866 554799 726334 1089501 1109598 1629779 2179002 3259558 4889337 9778674 11408453 22816906 34225359 47263591 68450718 94527182 141790773 283581546 330845137 661690274 992535411 1985070822