Search a number
-
+
220823790 = 235112127479
BaseRepresentation
bin11010010100110…
…00000011101110
3120101112000021220
431022120003232
5423012330130
633525004210
75320654065
oct1512300356
9511460256
10220823790
11103716200
1261b53666
1336998685
14214831dc
15145be410
hexd2980ee

220823790 has 96 divisors (see below), whose sum is σ = 588349440. Its totient is φ = 53000640.

The previous prime is 220823789. The next prime is 220823821. The reversal of 220823790 is 97328022.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 460771 + ... + 461249.

It is an arithmetic number, because the mean of its divisors is an integer number (6128640).

Almost surely, 2220823790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220823790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294174720).

220823790 is an abundant number, since it is smaller than the sum of its proper divisors (367525650).

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

220823790 is a wasteful number, since it uses less digits than its factorization.

220823790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 220823790 is about 14860.1409818346. The cubic root of 220823790 is about 604.4336297380.

The spelling of 220823790 in words is "two hundred twenty million, eight hundred twenty-three thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 127 165 242 254 330 363 381 479 605 635 726 762 958 1210 1270 1397 1437 1815 1905 2395 2794 2874 3630 3810 4191 4790 5269 6985 7185 8382 10538 13970 14370 15367 15807 20955 26345 30734 31614 41910 46101 52690 57959 60833 76835 79035 92202 115918 121666 153670 158070 173877 182499 230505 289795 304165 347754 364998 461010 579590 608330 669163 869385 912495 1338326 1738770 1824990 2007489 3345815 4014978 6691630 7360793 10037445 14721586 20074890 22082379 36803965 44164758 73607930 110411895 220823790