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220949080 = 23511653769
BaseRepresentation
bin11010010101101…
…10101001011000
3120101202101011021
431022312221120
5423030332310
633531412224
75322015262
oct1512665130
9511671137
10220949080
111037a1350
1261bb4074
1336a10701
14214b6b32
15145e65da
hexd2b6a58

220949080 has 64 divisors (see below), whose sum is σ = 543866400. Its totient is φ = 80117760.

The previous prime is 220949077. The next prime is 220949087. The reversal of 220949080 is 80949022.

220949080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220949087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286936 + ... + 287704.

Almost surely, 2220949080 is an apocalyptic number.

220949080 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 220949080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271933200).

220949080 is an abundant number, since it is smaller than the sum of its proper divisors (322917320).

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

220949080 is a wasteful number, since it uses less digits than its factorization.

220949080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 220949080 is about 14864.3560237233. The cubic root of 220949080 is about 604.5479217287.

The spelling of 220949080 in words is "two hundred twenty million, nine hundred forty-nine thousand, eighty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 653 769 1306 1538 2612 3076 3265 3845 5224 6152 6530 7183 7690 8459 13060 14366 15380 16918 26120 28732 30760 33836 35915 42295 57464 67672 71830 84590 143660 169180 287320 338360 502157 1004314 2008628 2510785 4017256 5021570 5523727 10043140 11047454 20086280 22094908 27618635 44189816 55237270 110474540 220949080