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220234300 = 2252111315401
BaseRepresentation
bin11010010000010…
…00001000111100
3120100102001122221
431020020020330
5422334444200
633504215124
75312650336
oct1510101074
9510361587
10220234300
11103353320
126190a4a4
1336820270
142136c456
151450491a
hexd20823c

220234300 has 72 divisors (see below), whose sum is σ = 561495312. Its totient is φ = 73920000.

The previous prime is 220234277. The next prime is 220234319. The reversal of 220234300 is 3432022.

220234300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6600 + ... + 22000.

It is an arithmetic number, because the mean of its divisors is an integer number (7798546).

Almost surely, 2220234300 is an apocalyptic number.

220234300 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 220234300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280747656).

220234300 is an abundant number, since it is smaller than the sum of its proper divisors (341261012).

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

220234300 is a wasteful number, since it uses less digits than its factorization.

220234300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15439 (or 15432 counting only the distinct ones).

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

The square root of 220234300 is about 14840.2931237897. The cubic root of 220234300 is about 603.8953044270.

Adding to 220234300 its reverse (3432022), we get a palindrome (223666322).

The spelling of 220234300 in words is "two hundred twenty million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 15401 30802 61604 77005 154010 169411 200213 308020 338822 385025 400426 677644 770050 800852 847055 1001065 1540100 1694110 2002130 2202343 3388220 4004260 4235275 4404686 5005325 8470550 8809372 10010650 11011715 16941100 20021300 22023430 44046860 55058575 110117150 220234300