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2320322240 = 26510966523
BaseRepresentation
bin1000101001001101…
…0100111011000000
312222201002120201202
42022103110323000
514223000302430
61022124320332
7111333261605
oct21223247300
95881076652
102320322240
11a90841495
125490a30a8
132ac93c152
1418023c6ac
15d8a87d45
hex8a4d4ec0

2320322240 has 56 divisors (see below), whose sum is σ = 5576041680. Its totient is φ = 919600128.

The previous prime is 2320322239. The next prime is 2320322261. The reversal of 2320322240 is 422230232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1619 + ... + 68141.

Almost surely, 22320322240 is an apocalyptic number.

2320322240 is a gapful number since it is divisible by the number (20) 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 2320322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788020840).

2320322240 is an abundant number, since it is smaller than the sum of its proper divisors (3255719440).

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

2320322240 is a wasteful number, since it uses less digits than its factorization.

2320322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66649 (or 66639 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2320322240 is about 48169.7232709510. The cubic root of 2320322240 is about 1323.8824781672.

Adding to 2320322240 its reverse (422230232), we get a palindrome (2742552472).

The spelling of 2320322240 in words is "two billion, three hundred twenty million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 160 218 320 436 545 872 1090 1744 2180 3488 4360 6976 8720 17440 34880 66523 133046 266092 332615 532184 665230 1064368 1330460 2128736 2660920 4257472 5321840 7251007 10643680 14502014 21287360 29004028 36255035 58008056 72510070 116016112 145020140 232032224 290040280 464064448 580080560 1160161120 2320322240