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220402980 = 223257224989
BaseRepresentation
bin11010010001100…
…01010100100100
3120100201122001100
431020301110210
5422410343410
633512000100
75314252200
oct1510612444
9510648040
10220402980
11103459026
1261990030
133687bc85
14213b3b00
15145398c0
hexd231524

220402980 has 108 divisors (see below), whose sum is σ = 777738780. Its totient is φ = 50375808.

The previous prime is 220402967. The next prime is 220403017. The reversal of 220402980 is 89204022.

It can be written as a sum of positive squares in 2 ways, for example, as 170615844 + 49787136 = 13062^2 + 7056^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3675 + ... + 21314.

It is an arithmetic number, because the mean of its divisors is an integer number (7201285).

Almost surely, 2220402980 is an apocalyptic number.

220402980 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 220402980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388869390).

220402980 is an abundant number, since it is smaller than the sum of its proper divisors (557335800).

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

220402980 is a wasteful number, since it uses less digits than its factorization.

220402980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25018 (or 25006 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220402980 is about 14845.9752121577. The cubic root of 220402980 is about 604.0494418834.

The spelling of 220402980 in words is "two hundred twenty million, four hundred two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 24989 49978 74967 99956 124945 149934 174923 224901 249890 299868 349846 374835 449802 499780 524769 699692 749670 874615 899604 1049538 1124505 1224461 1499340 1574307 1749230 2099076 2249010 2448922 2623845 3148614 3498460 3673383 4498020 4897844 5247690 6122305 6297228 7346766 7871535 10495380 11020149 12244610 14693532 15743070 18366915 22040298 24489220 31486140 36733830 44080596 55100745 73467660 110201490 220402980