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220334020 = 225233171511
BaseRepresentation
bin11010010001000…
…00011111000100
3120100121010110021
431020200133010
5422401142040
633510304524
75313544144
oct1510403704
9510533407
10220334020
11103411235
1261958144
133685677a
1421396924
151452424a
hexd2207c4

220334020 has 48 divisors (see below), whose sum is σ = 484662528. Its totient is φ = 83980160.

The previous prime is 220333999. The next prime is 220334027. The reversal of 220334020 is 20433022.

It is a junction number, because it is equal to n+sod(n) for n = 220333985 and 220334003.

It is not an unprimeable number, because it can be changed into a prime (220334027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145065 + ... + 146575.

It is an arithmetic number, because the mean of its divisors is an integer number (10097136).

Almost surely, 2220334020 is an apocalyptic number.

220334020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220334020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242331264).

220334020 is an abundant number, since it is smaller than the sum of its proper divisors (264328508).

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

220334020 is a wasteful number, since it uses less digits than its factorization.

220334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 220334020 is about 14843.6525154694. The cubic root of 220334020 is about 603.9864366938.

Adding to 220334020 its reverse (20433022), we get a palindrome (240767042).

The spelling of 220334020 in words is "two hundred twenty million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 317 460 634 1268 1511 1585 3022 3170 6044 6340 7291 7555 14582 15110 29164 30220 34753 36455 69506 72910 139012 145820 173765 347530 478987 695060 957974 1915948 2394935 4789870 9579740 11016701 22033402 44066804 55083505 110167010 220334020