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855221312 = 261117193761
BaseRepresentation
bin110010111110011…
…010010001000000
32012121020202002102
4302332122101000
53222414040222
6220510205532
730123155411
oct6276322100
92177222072
10855221312
113a9828480
121ba4b38a8
13108248a1a
1481821808
1550133d92
hex32f9a440

855221312 has 112 divisors (see below), whose sum is σ = 2063983680. Its totient is φ = 346521600.

The previous prime is 855221287. The next prime is 855221321. The reversal of 855221312 is 213122558.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 225512 + ... + 229272.

Almost surely, 2855221312 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 855221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031991840).

855221312 is an abundant number, since it is smaller than the sum of its proper divisors (1208762368).

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

855221312 is a wasteful number, since it uses less digits than its factorization.

855221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3810 counting only the distinct ones).

The product of its digits is 4800, while the sum is 29.

The square root of 855221312 is about 29244.1671449197. The cubic root of 855221312 is about 949.2038803901.

The spelling of 855221312 in words is "eight hundred fifty-five million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 19 22 32 34 38 44 64 68 76 88 136 152 176 187 209 272 304 323 352 374 418 544 608 646 704 748 836 1088 1216 1292 1496 1672 2584 2992 3344 3553 3761 5168 5984 6688 7106 7522 10336 11968 13376 14212 15044 20672 28424 30088 41371 56848 60176 63937 71459 82742 113696 120352 127874 142918 165484 227392 240704 255748 285836 330968 511496 571672 661936 703307 786049 1022992 1143344 1214803 1323872 1406614 1572098 2045984 2286688 2429606 2647744 2813228 3144196 4091968 4573376 4859212 5626456 6288392 9718424 11252912 12576784 13362833 19436848 22505824 25153568 26725666 38873696 45011648 50307136 53451332 77747392 106902664 213805328 427610656 855221312