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20241022400 = 265212650639
BaseRepresentation
bin10010110110011101…
…010111110111000000
31221020122001110211022
4102312131113313000
5312423200204100
613144255205012
71314406565054
oct226635276700
957218043738
1020241022400
118647590795
123b0a816768
131ba75c5c41
14da0305c64
157d6ec9e85
hex4b6757dc0

20241022400 has 42 divisors (see below), whose sum is σ = 49805569680. Its totient is φ = 8096408320.

The previous prime is 20241022363. The next prime is 20241022427. The reversal of 20241022400 is 422014202.

It is a happy number.

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 5 ways as a sum of consecutive naturals, for example, 6323720 + ... + 6326919.

Almost surely, 220241022400 is an apocalyptic number.

20241022400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20241022400 is an abundant number, since it is smaller than the sum of its proper divisors (29564547280).

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

20241022400 is a wasteful number, since it uses less digits than its factorization.

20241022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12650661 (or 12650646 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 20241022400 its reverse (422014202), we get a palindrome (20663036602).

The spelling of 20241022400 in words is "twenty billion, two hundred forty-one million, twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 12650639 25301278 50602556 63253195 101205112 126506390 202410224 253012780 316265975 404820448 506025560 632531950 809640896 1012051120 1265063900 2024102240 2530127800 4048204480 5060255600 10120511200 20241022400