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220331034 = 232711712239
BaseRepresentation
bin11010010000111…
…11110000011010
3120100120222100200
431020133300122
5422401043114
633510243030
75313532350
oct1510376032
9510528320
10220331034
11103409a70
1261956476
13368552c1
14213957d0
1514523409
hexd21fc1a

220331034 has 96 divisors (see below), whose sum is σ = 603832320. Its totient is φ = 56397600.

The previous prime is 220331003. The next prime is 220331039. The reversal of 220331034 is 430133022.

220331034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220330998 and 220331016.

It is not an unprimeable number, because it can be changed into a prime (220331039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97287 + ... + 99525.

It is an arithmetic number, because the mean of its divisors is an integer number (6289920).

Almost surely, 2220331034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220331034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301916160).

220331034 is an abundant number, since it is smaller than the sum of its proper divisors (383501286).

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

220331034 is a wasteful number, since it uses less digits than its factorization.

220331034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 220331034 is about 14843.5519334154. The cubic root of 220331034 is about 603.9837082429.

Adding to 220331034 its reverse (430133022), we get a palindrome (650464056).

The spelling of 220331034 in words is "two hundred twenty million, three hundred thirty-one thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 71 77 99 126 142 154 198 213 231 426 462 497 639 693 781 994 1278 1386 1491 1562 2239 2343 2982 4473 4478 4686 5467 6717 7029 8946 10934 13434 14058 15673 16401 20151 24629 31346 32802 40302 47019 49203 49258 73887 94038 98406 141057 147774 158969 172403 221661 282114 317938 344806 443322 476907 517209 953814 1034418 1112783 1430721 1551627 1748659 2225566 2861442 3103254 3338349 3497318 5245977 6676698 10015047 10491954 12240613 15737931 20030094 24481226 31475862 36721839 73443678 110165517 220331034