Search a number
-
+
20533200000 = 2735571241
BaseRepresentation
bin10011000111110111…
…111100010010000000
31221222222211122010220
4103013313330102000
5314022444400000
613233253423040
71324555214565
oct230767742200
957888748126
1020533200000
118787502085
123b9063aa80
131c22cb53b1
14dcb04086c
158029911a0
hex4c7dfc480

20533200000 has 384 divisors, whose sum is σ = 69419306880. Its totient is φ = 5376000000.

The previous prime is 20533199983. The next prime is 20533200011. The reversal of 20533200000 is 233502.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×205332000002 (a number of 21 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85199880 + ... + 85200120.

It is an arithmetic number, because the mean of its divisors is an integer number (180779445).

Almost surely, 220533200000 is an apocalyptic number.

20533200000 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 20533200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34709653440).

20533200000 is an abundant number, since it is smaller than the sum of its proper divisors (48886106880).

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

20533200000 is an frugal number, since it uses more digits than its factorization.

20533200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 20533200000 its reverse (233502), we get a palindrome (20533433502).

The spelling of 20533200000 in words is "twenty billion, five hundred thirty-three million, two hundred thousand".