Search a number
-
+
2218490868 = 22311671371831
BaseRepresentation
bin1000010000111011…
…0111101111110100
312201121111000100110
42010032313233310
514020413201433
61004045543020
7105655601256
oct20416675764
95647430313
102218490868
11a3930a030
1251ab74a70
13294806bb9
141708d1cd6
15ceb70963
hex843b7bf4

2218490868 has 96 divisors (see below), whose sum is σ = 5776339968. Its totient is φ = 657043200.

The previous prime is 2218490867. The next prime is 2218490887. The reversal of 2218490868 is 8680948122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218490867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210713 + ... + 1212543.

It is an arithmetic number, because the mean of its divisors is an integer number (60170208).

Almost surely, 22218490868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2218490868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888169984).

2218490868 is an abundant number, since it is smaller than the sum of its proper divisors (3557849100).

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

2218490868 is a wasteful number, since it uses less digits than its factorization.

2218490868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 2218490868 is about 47100.8584635142. The cubic root of 2218490868 is about 1304.2250833123.

The spelling of 2218490868 in words is "two billion, two hundred eighteen million, four hundred ninety thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 132 134 137 201 268 274 402 411 548 737 804 822 1474 1507 1644 1831 2211 2948 3014 3662 4422 4521 5493 6028 7324 8844 9042 9179 10986 18084 18358 20141 21972 27537 36716 40282 55074 60423 80564 100969 110148 120846 122677 201938 241692 245354 250847 302907 368031 403876 490708 501694 605814 736062 752541 1003388 1211628 1349447 1472124 1505082 2698894 2759317 3010164 4048341 5397788 5518634 8096682 8277951 11037268 16193364 16555902 16806749 33111804 33613498 50420247 67226996 100840494 184874239 201680988 369748478 554622717 739496956 1109245434 2218490868