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220581020 = 225116911451
BaseRepresentation
bin11010010010111…
…00110010011100
3120101001200021102
431021130302130
5422432043040
633515452232
75315623232
oct1511346234
9511050242
10220581020
1110356a870
1261a57078
133691201a
142141c952
1514572515
hexd25cc9c

220581020 has 48 divisors (see below), whose sum is σ = 506411136. Its totient is φ = 80040000.

The previous prime is 220581019. The next prime is 220581029. The reversal of 220581020 is 20185022.

220581020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220580983 and 220581001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220581029) 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, 151295 + ... + 152745.

It is an arithmetic number, because the mean of its divisors is an integer number (10550232).

Almost surely, 2220581020 is an apocalyptic number.

220581020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220581020 is an abundant number, since it is smaller than the sum of its proper divisors (285830116).

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

220581020 is a wasteful number, since it uses less digits than its factorization.

220581020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 220581020 is about 14851.9702396685. The cubic root of 220581020 is about 604.2120470920.

The spelling of 220581020 in words is "two hundred twenty million, five hundred eighty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 691 1382 1451 2764 2902 3455 5804 6910 7255 7601 13820 14510 15202 15961 29020 30404 31922 38005 63844 76010 79805 152020 159610 319220 1002641 2005282 4010564 5013205 10026410 11029051 20052820 22058102 44116204 55145255 110290510 220581020