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220707220 = 225371012953
BaseRepresentation
bin11010010011110…
…11100110010100
3120101022002101111
431021323212110
5423000112340
633522304404
75316660166
oct1511734624
9511262344
10220707220
11103646668
1261ab8104
13369575b6
1421452936
1514599aea
hexd27b994

220707220 has 48 divisors (see below), whose sum is σ = 480887568. Its totient is φ = 85017600.

The previous prime is 220707191. The next prime is 220707247. The reversal of 220707220 is 22707022.

It can be written as a sum of positive squares in 8 ways, for example, as 74442384 + 146264836 = 8628^2 + 12094^2 .

It is a junction number, because it is equal to n+sod(n) for n = 220707191 and 220707200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73264 + ... + 76216.

It is an arithmetic number, because the mean of its divisors is an integer number (10018491).

Almost surely, 2220707220 is an apocalyptic number.

220707220 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 220707220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240443784).

220707220 is an abundant number, since it is smaller than the sum of its proper divisors (260180348).

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

220707220 is a wasteful number, since it uses less digits than its factorization.

220707220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 220707220 is about 14856.2182267224. The cubic root of 220707220 is about 604.3272534731.

The spelling of 220707220 in words is "two hundred twenty million, seven hundred seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 740 1010 2020 2953 3737 5906 7474 11812 14765 14948 18685 29530 37370 59060 74740 109261 218522 298253 437044 546305 596506 1092610 1193012 1491265 2185220 2982530 5965060 11035361 22070722 44141444 55176805 110353610 220707220