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20241022000 = 245360716673
BaseRepresentation
bin10010110110011101…
…010111110000110000
31221020122001110021111
4102312131113300300
5312423200201000
613144255203104
71314406563643
oct226635276060
957218043244
1020241022000
118647590461
123b0a816494
131ba75c59c4
14da0305a5a
157d6ec9cba
hex4b6757c30

20241022000 has 80 divisors (see below), whose sum is σ = 49026362112. Its totient is φ = 8082585600.

The previous prime is 20241021991. The next prime is 20241022003. The reversal of 20241022000 is 22014202.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (20241022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1205664 + ... + 1222336.

Almost surely, 220241022000 is an apocalyptic number.

20241022000 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 20241022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24513181056).

20241022000 is an abundant number, since it is smaller than the sum of its proper divisors (28785340112).

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

20241022000 is a wasteful number, since it uses less digits than its factorization.

20241022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17303 (or 17287 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 20241022000 its reverse (22014202), we get a palindrome (20263036202).

The spelling of 20241022000 in words is "twenty billion, two hundred forty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 607 1000 1214 2000 2428 3035 4856 6070 9712 12140 15175 16673 24280 30350 33346 48560 60700 66692 75875 83365 121400 133384 151750 166730 242800 266768 303500 333460 416825 607000 666920 833650 1214000 1333840 1667300 2084125 3334600 4168250 6669200 8336500 10120511 16673000 20241022 33346000 40482044 50602555 80964088 101205110 161928176 202410220 253012775 404820440 506025550 809640880 1012051100 1265063875 2024102200 2530127750 4048204400 5060255500 10120511000 20241022000