Search a number
-
+
20244321000 = 23325311232003
BaseRepresentation
bin10010110110101001…
…111101001011101000
31221020212021001122200
4102312221331023220
5312430021233000
613144454020200
71314446614011
oct226651751350
957225231580
1020244321000
118649434002
123b0b947660
131ba81ac487
14da0924008
157d742c500
hex4b6a7d2e8

20244321000 has 192 divisors, whose sum is σ = 68520928320. Its totient is φ = 5390985600.

The previous prime is 20244320959. The next prime is 20244321023. The reversal of 20244321000 is 12344202.

20244321000 is a `hidden beast` number, since 202 + 443 + 21 + 0 + 0 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 10105999 + ... + 10108001.

It is an arithmetic number, because the mean of its divisors is an integer number (356879835).

Almost surely, 220244321000 is an apocalyptic number.

20244321000 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 20244321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34260464160).

20244321000 is an abundant number, since it is smaller than the sum of its proper divisors (48276607320).

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

20244321000 is a wasteful number, since it uses less digits than its factorization.

20244321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3153 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20244321000 its reverse (12344202), we get a palindrome (20256665202).

The spelling of 20244321000 in words is "twenty billion, two hundred forty-four million, three hundred twenty-one thousand".