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220021880 = 235133113649
BaseRepresentation
bin11010001110101…
…00010001111000
3120100000021021112
431013110101320
5422311200010
633455455452
75311104131
oct1507242170
9510007245
10220021880
11103218771
1261827588
1336777680
1421314c88
15144b1a05
hexd1d4478

220021880 has 64 divisors (see below), whose sum is σ = 550368000. Its totient is φ = 78612480.

The previous prime is 220021861. The next prime is 220021889. The reversal of 220021880 is 88120022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220021889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9296 + ... + 22944.

It is an arithmetic number, because the mean of its divisors is an integer number (8599500).

Almost surely, 2220021880 is an apocalyptic number.

220021880 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 220021880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275184000).

220021880 is an abundant number, since it is smaller than the sum of its proper divisors (330346120).

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

220021880 is a wasteful number, since it uses less digits than its factorization.

220021880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13704 (or 13700 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 220021880 is about 14833.1345305030. The cubic root of 220021880 is about 603.7010859586.

The spelling of 220021880 in words is "two hundred twenty million, twenty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 13649 16120 27298 54596 68245 109192 136490 177437 272980 354874 423119 545960 709748 846238 887185 1419496 1692476 1774370 2115595 3384952 3548740 4231190 5500547 7097480 8462380 11001094 16924760 22002188 27502735 44004376 55005470 110010940 220021880