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2664402216 = 233722371119
BaseRepresentation
bin1001111011001111…
…1000110100101000
320212200112122201120
42132303320310220
520424041332331
61120215215240
7123012021330
oct23663706450
96780478646
102664402216
111147a92903
12624377520
13336001878
141b3c080c0
15108da2796
hex9ecf8d28

2664402216 has 64 divisors (see below), whose sum is σ = 7646822400. Its totient is φ = 757833408.

The previous prime is 2664402211. The next prime is 2664402233. The reversal of 2664402216 is 6122044662.

It is not an unprimeable number, because it can be changed into a prime (2664402211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1905 + ... + 73023.

It is an arithmetic number, because the mean of its divisors is an integer number (119481600).

Almost surely, 22664402216 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 2664402216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823411200).

2664402216 is an abundant number, since it is smaller than the sum of its proper divisors (4982420184).

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

2664402216 is a wasteful number, since it uses less digits than its factorization.

2664402216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71358 (or 71354 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2664402216 is about 51617.8478435512. The cubic root of 2664402216 is about 1386.3299169434.

Adding to 2664402216 its reverse (6122044662), we get a palindrome (8786446878).

The spelling of 2664402216 in words is "two billion, six hundred sixty-four million, four hundred two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 223 446 669 892 1338 1561 1784 2676 3122 4683 5352 6244 9366 12488 18732 37464 71119 142238 213357 284476 426714 497833 568952 853428 995666 1493499 1706856 1991332 2986998 3982664 5973996 11947992 15859537 31719074 47578611 63438148 95157222 111016759 126876296 190314444 222033518 333050277 380628888 444067036 666100554 888134072 1332201108 2664402216