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2322016664 = 2311791013307
BaseRepresentation
bin1000101001100111…
…0010100110011000
312222211021200001012
42022121302212120
514223414013124
61022224513052
7111353546612
oct21231624630
95884250035
102322016664
11a91799540
1254977b788
132b00b3476
1418055ddb2
15d8cbee0e
hex8a672998

2322016664 has 64 divisors (see below), whose sum is σ = 4858790400. Its totient is φ = 1031472000.

The previous prime is 2322016661. The next prime is 2322016679. The reversal of 2322016664 is 4666102232.

It is a super-2 number, since 2×23220166642 = 10783522775787377792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2322016664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2322016661) 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, 700499 + ... + 703805.

It is an arithmetic number, because the mean of its divisors is an integer number (75918600).

Almost surely, 22322016664 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 2322016664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429395200).

2322016664 is an abundant number, since it is smaller than the sum of its proper divisors (2536773736).

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

2322016664 is a wasteful number, since it uses less digits than its factorization.

2322016664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 2322016664 is about 48187.3081215376. The cubic root of 2322016664 is about 1324.2046564675.

Adding to 2322016664 its reverse (4666102232), we get a palindrome (6988118896).

The spelling of 2322016664 in words is "two billion, three hundred twenty-two million, sixteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 79 88 101 158 202 316 404 632 808 869 1111 1738 2222 3307 3476 4444 6614 6952 7979 8888 13228 15958 26456 31916 36377 63832 72754 87769 145508 175538 261253 291016 334007 351076 522506 668014 702152 1045012 1336028 2090024 2672056 2873783 3674077 5747566 7348154 11495132 14696308 22990264 26386553 29392616 52773106 105546212 211092424 290252083 580504166 1161008332 2322016664