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2218918968 = 233371467539
BaseRepresentation
bin1000010001000010…
…0000010000111000
312201122021202121000
42010100200100320
514021020401333
61004103045000
7105662333340
oct20420402070
95648252530
102218918968
11a39581732
1251b140760
13294926a06
141709a3d20
15cec07713
hex84420438

2218918968 has 64 divisors (see below), whose sum is σ = 7044192000. Its totient is φ = 633976416.

The previous prime is 2218918967. The next prime is 2218918969. The reversal of 2218918968 is 8698198122.

It is an interprime number because it is at equal distance from previous prime (2218918967) and next prime (2218918969).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2218918967) 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, 732258 + ... + 735281.

It is an arithmetic number, because the mean of its divisors is an integer number (110065500).

Almost surely, 22218918968 is an apocalyptic number.

2218918968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2218918968 is an abundant number, since it is smaller than the sum of its proper divisors (4825273032).

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

2218918968 is a wasteful number, since it uses less digits than its factorization.

2218918968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467561 (or 1467551 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 2218918968 is about 47105.4027474556. The cubic root of 2218918968 is about 1304.3089695938.

The spelling of 2218918968 in words is "two billion, two hundred eighteen million, nine hundred eighteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 1467539 2935078 4402617 5870156 8805234 10272773 11740312 13207851 17610468 20545546 26415702 30818319 35220936 39623553 41091092 52831404 61636638 79247106 82182184 92454957 105662808 123273276 158494212 184909914 246546552 277364871 316988424 369819828 554729742 739639656 1109459484 2218918968