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20223023040 = 2632511837691
BaseRepresentation
bin10010110101011000…
…101101011111000000
31221012101012000100100
4102311120231133000
5312404043214130
613142413322400
71314100600563
oct226530553700
957171160310
1020223023040
118638407590
123b04796400
131ba396332c
14d9bb7c4da
157d5621c60
hex4b562d7c0

20223023040 has 336 divisors, whose sum is σ = 76806527616. Its totient is φ = 4842854400.

The previous prime is 20223023039. The next prime is 20223023057. The reversal of 20223023040 is 4032032202.

20223023040 is a `hidden beast` number, since 202 + 230 + 230 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 2625595 + ... + 2633285.

It is an arithmetic number, because the mean of its divisors is an integer number (228590856).

Almost surely, 220223023040 is an apocalyptic number.

20223023040 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 20223023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38403263808).

20223023040 is an abundant number, since it is smaller than the sum of its proper divisors (56583504576).

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

20223023040 is a wasteful number, since it uses less digits than its factorization.

20223023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7808 (or 7795 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20223023040 its reverse (4032032202), we get a palindrome (24255055242).

The spelling of 20223023040 in words is "twenty billion, two hundred twenty-three million, twenty-three thousand, forty".