Search a number
-
+
2219598220 = 2257791011987
BaseRepresentation
bin1000010001001100…
…0110000110001100
312201200120021100111
42010103012012030
514021204120340
61004125405404
7106001162560
oct20423060614
95650507314
102219598220
11a399a5aa4
1251b409864
13294b03c38
14170add6a0
15cecddaea
hex844c618c

2219598220 has 96 divisors (see below), whose sum is σ = 5450618880. Its totient is φ = 743558400.

The previous prime is 2219598211. The next prime is 2219598223. The reversal of 2219598220 is 228959122.

It is not an unprimeable number, because it can be changed into a prime (2219598223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1116067 + ... + 1118053.

It is an arithmetic number, because the mean of its divisors is an integer number (56777280).

Almost surely, 22219598220 is an apocalyptic number.

2219598220 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 2219598220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725309440).

2219598220 is an abundant number, since it is smaller than the sum of its proper divisors (3231020660).

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

2219598220 is a wasteful number, since it uses less digits than its factorization.

2219598220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 2219598220 is about 47112.6121118326. The cubic root of 2219598220 is about 1304.4420470220.

The spelling of 2219598220 in words is "two billion, two hundred nineteen million, five hundred ninety-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 101 140 158 202 316 395 404 505 553 707 790 1010 1106 1414 1580 1987 2020 2212 2765 2828 3535 3974 5530 7070 7948 7979 9935 11060 13909 14140 15958 19870 27818 31916 39740 39895 55636 55853 69545 79790 111706 139090 156973 159580 200687 223412 278180 279265 313946 401374 558530 627892 784865 802748 1003435 1098811 1117060 1404809 1569730 2006870 2197622 2809618 3139460 4013740 4395244 5494055 5619236 7024045 10988110 14048090 15854273 21976220 28096180 31708546 63417092 79271365 110979911 158542730 221959822 317085460 443919644 554899555 1109799110 2219598220