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20322322400 = 255241619583
BaseRepresentation
bin10010111011010011…
…100000011111100000
31221110022000221110102
4102323103200133200
5313110003304100
613200321521532
71316414614232
oct227323403740
957408027412
1020322322400
11868946a676
123b31aa32a8
131bbb3bcc53
14dab02a252
157de1d8cd5
hex4bb4e07e0

20322322400 has 72 divisors (see below), whose sum is σ = 50821997184. Its totient is φ = 7930649600.

The previous prime is 20322322387. The next prime is 20322322421. The reversal of 20322322400 is 422322302.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 276992 + ... + 342591.

It is an arithmetic number, because the mean of its divisors is an integer number (705861072).

Almost surely, 220322322400 is an apocalyptic number.

20322322400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20322322400 is an abundant number, since it is smaller than the sum of its proper divisors (30499674784).

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

20322322400 is a wasteful number, since it uses less digits than its factorization.

20322322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619644 (or 619631 counting only the distinct ones).

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

Adding to 20322322400 its reverse (422322302), we get a palindrome (20744644702).

The spelling of 20322322400 in words is "twenty billion, three hundred twenty-two million, three hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 200 205 328 400 410 656 800 820 1025 1312 1640 2050 3280 4100 6560 8200 16400 32800 619583 1239166 2478332 3097915 4956664 6195830 9913328 12391660 15489575 19826656 24783320 25402903 30979150 49566640 50805806 61958300 99133280 101611612 123916600 127014515 203223224 247833200 254029030 406446448 495666400 508058060 635072575 812892896 1016116120 1270145150 2032232240 2540290300 4064464480 5080580600 10161161200 20322322400