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20244302200 = 23521491574327
BaseRepresentation
bin10010110110101001…
…111000100101111000
31221020212020002212101
4102312221320211320
5312430020132300
613144453353144
71314446505133
oct226651704570
957225202771
1020244302200
118649420971
123b0b9387b4
131ba81a3a55
14da091b21a
157d7426b6a
hex4b6a78978

20244302200 has 96 divisors (see below), whose sum is σ = 47696724000. Its totient is φ = 7990295040.

The previous prime is 20244302159. The next prime is 20244302203. The reversal of 20244302200 is 220344202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20244302203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4676437 + ... + 4680763.

It is an arithmetic number, because the mean of its divisors is an integer number (496840875).

Almost surely, 220244302200 is an apocalyptic number.

20244302200 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 20244302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23848362000).

20244302200 is an abundant number, since it is smaller than the sum of its proper divisors (27452421800).

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

20244302200 is a wasteful number, since it uses less digits than its factorization.

20244302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 20244302200 its reverse (220344202), we get a palindrome (20464646402).

The spelling of 20244302200 in words is "twenty billion, two hundred forty-four million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 149 157 200 298 314 596 628 745 785 1192 1256 1490 1570 2980 3140 3725 3925 4327 5960 6280 7450 7850 8654 14900 15700 17308 21635 23393 29800 31400 34616 43270 46786 86540 93572 108175 116965 173080 187144 216350 233930 432700 467860 584825 644723 679339 865400 935720 1169650 1289446 1358678 2339300 2578892 2717356 3223615 3396695 4678600 5157784 5434712 6447230 6793390 12894460 13586780 16118075 16983475 25788920 27173560 32236150 33966950 64472300 67933900 101221511 128944600 135867800 202443022 404886044 506107555 809772088 1012215110 2024430220 2530537775 4048860440 5061075550 10122151100 20244302200