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219231220 = 225138310159
BaseRepresentation
bin11010001000100…
…11001111110100
3120021112002200211
431010103033310
5422110344340
633430515204
75301302035
oct1504231764
9507462624
10219231220
1110282872a
1261505b04
133655b820
142118aa8c
15143a75ea
hexd1133f4

219231220 has 48 divisors (see below), whose sum is σ = 501822720. Its totient is φ = 79963776.

The previous prime is 219231211. The next prime is 219231263. The reversal of 219231220 is 22132912.

219231220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 219231191 and 219231200.

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, 16501 + ... + 26659.

It is an arithmetic number, because the mean of its divisors is an integer number (10454640).

Almost surely, 2219231220 is an apocalyptic number.

219231220 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 219231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250911360).

219231220 is an abundant number, since it is smaller than the sum of its proper divisors (282591500).

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

219231220 is a wasteful number, since it uses less digits than its factorization.

219231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10264 (or 10262 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 219231220 is about 14806.4587258399. The cubic root of 219231220 is about 602.9770743200.

The spelling of 219231220 in words is "two hundred nineteen million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 2158 4316 5395 10159 10790 20318 21580 40636 50795 101590 132067 203180 264134 528268 660335 843197 1320670 1686394 2641340 3372788 4215985 8431970 10961561 16863940 21923122 43846244 54807805 109615610 219231220