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20233122000 = 2435371337057
BaseRepresentation
bin10010110101111111…
…001111000011010000
31221020002012002111220
4102311333033003100
5312414134401000
613143414005040
71314252461610
oct226577170320
957202162456
1020233122000
118643085033
123b08046780
131ba5a8ac50
14d9d24aa40
157d64691a0
hex4b5fcf0d0

20233122000 has 320 divisors, whose sum is σ = 80287194624. Its totient is φ = 4268851200.

The previous prime is 20233121977. The next prime is 20233122017. The reversal of 20233122000 is 22133202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 527472 + ... + 564528.

Almost surely, 220233122000 is an apocalyptic number.

20233122000 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 20233122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40143597312).

20233122000 is an abundant number, since it is smaller than the sum of its proper divisors (60054072624).

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

20233122000 is a wasteful number, since it uses less digits than its factorization.

20233122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37103 (or 37087 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20233122000 its reverse (22133202), we get a palindrome (20255255202).

The spelling of 20233122000 in words is "twenty billion, two hundred thirty-three million, one hundred twenty-two thousand".