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20322332304 = 24317137181787
BaseRepresentation
bin10010111011010011…
…100010111010010000
31221110022001110001020
4102323103202322100
5313110004113204
613200322035440
71316414655141
oct227323427220
957408043036
1020322332304
11868947705a
123b31aa8b80
131bbb3c4601
14dab02dac8
157de1dbbd9
hex4bb4e2e90

20322332304 has 80 divisors (see below), whose sum is σ = 55993612608. Its totient is φ = 6329061376.

The previous prime is 20322332293. The next prime is 20322332309. The reversal of 20322332304 is 40323322302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20322332309) 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, 20899 + ... + 202685.

Almost surely, 220322332304 is an apocalyptic number.

20322332304 is a gapful number since it is divisible by the number (24) 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 20322332304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27996806304).

20322332304 is an abundant number, since it is smaller than the sum of its proper divisors (35671280304).

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

20322332304 is a wasteful number, since it uses less digits than its factorization.

20322332304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181952 (or 181946 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 20322332304 its reverse (40323322302), we get a palindrome (60645654606).

The spelling of 20322332304 in words is "twenty billion, three hundred twenty-two million, three hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 137 204 272 274 408 411 548 816 822 1096 1644 2192 2329 3288 4658 6576 6987 9316 13974 18632 27948 37264 55896 111792 181787 363574 545361 727148 1090722 1454296 2181444 2908592 3090379 4362888 6180758 8725776 9271137 12361516 18542274 24723032 24904819 37084548 49446064 49809638 74169096 74714457 99619276 148338192 149428914 199238552 298857828 398477104 423381923 597715656 846763846 1195431312 1270145769 1693527692 2540291538 3387055384 5080583076 6774110768 10161166152 20322332304