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2321668608 = 29372109283
BaseRepresentation
bin1000101001100001…
…1101101000000000
312222210121222121020
42022120131220000
514223321343413
61022213225440
7111350600100
oct21230355000
95883558536
102321668608
11a91580a96
12549632280
132accc0c0c
141804ad200
15d8c51c23
hex8a61da00

2321668608 has 240 divisors, whose sum is σ = 7286542560. Its totient is φ = 654925824.

The previous prime is 2321668579. The next prime is 2321668627. The reversal of 2321668608 is 8068661232.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2321668608.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8203635 + ... + 8203917.

It is an arithmetic number, because the mean of its divisors is an integer number (30360594).

Almost surely, 22321668608 is an apocalyptic number.

2321668608 is a gapful number since it is divisible by the number (28) 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 2321668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643271280).

2321668608 is an abundant number, since it is smaller than the sum of its proper divisors (4964873952).

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

2321668608 is a wasteful number, since it uses less digits than its factorization.

2321668608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2321668608 is about 48183.6964958065. The cubic root of 2321668608 is about 1324.1384897866.

The spelling of 2321668608 in words is "two billion, three hundred twenty-one million, six hundred sixty-eight thousand, six hundred eight".