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20422230400 = 2752111323433
BaseRepresentation
bin10011000001010000…
…101000000110000000
31221201021000210110201
4103001100220012000
5313311042333100
613214251134544
71322040044215
oct230120500600
957637023421
1020422230400
11872a8a8a70
123b5b444454
131c06000900
14dba3d5b0c
157e7d7136a
hex4c1428180

20422230400 has 288 divisors, whose sum is σ = 59612110920. Its totient is φ = 6853017600.

The previous prime is 20422230397. The next prime is 20422230431. The reversal of 20422230400 is 403222402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5947084 + ... + 5950516.

Almost surely, 220422230400 is an apocalyptic number.

20422230400 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 20422230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29806055460).

20422230400 is an abundant number, since it is smaller than the sum of its proper divisors (39189880520).

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

20422230400 is a wasteful number, since it uses less digits than its factorization.

20422230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 20422230400 its reverse (403222402), we get a palindrome (20825452802).

The spelling of 20422230400 in words is "twenty billion, four hundred twenty-two million, two hundred thirty thousand, four hundred".