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20202024400 = 2452163383809
BaseRepresentation
bin10010110100001000…
…100110110111010000
31221010220200011121221
4102310020212313100
5312333204240100
613140343254424
71313424242215
oct226410466720
957126604557
1020202024400
118627574a38
123ab974a414
131b9c4c04bc
14d99073b0c
157d387501a
hex4b4226dd0

20202024400 has 120 divisors (see below), whose sum is σ = 49021148160. Its totient is φ = 8000363520.

The previous prime is 20202024371. The next prime is 20202024413. The reversal of 20202024400 is 442020202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24971196 + ... + 24972004.

It is an arithmetic number, because the mean of its divisors is an integer number (408509568).

Almost surely, 220202024400 is an apocalyptic number.

20202024400 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 20202024400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24510574080).

20202024400 is an abundant number, since it is smaller than the sum of its proper divisors (28819123760).

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

20202024400 is a wasteful number, since it uses less digits than its factorization.

20202024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20202024400 its reverse (442020202), we get a palindrome (20644044602).

The spelling of 20202024400 in words is "twenty billion, two hundred two million, twenty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 163 200 326 383 400 652 766 809 815 1304 1532 1618 1630 1915 2608 3064 3236 3260 3830 4045 4075 6128 6472 6520 7660 8090 8150 9575 12944 13040 15320 16180 16300 19150 20225 30640 32360 32600 38300 40450 62429 64720 65200 76600 80900 124858 131867 153200 161800 249716 263734 309847 312145 323600 499432 527468 619694 624290 659335 998864 1054936 1239388 1248580 1318670 1549235 1560725 2109872 2478776 2497160 2637340 3098470 3121450 3296675 4957552 4994320 5274680 6196940 6242900 6593350 7746175 10549360 12393880 12485800 13186700 15492350 24787760 24971600 26373400 30984700 50505061 52746800 61969400 101010122 123938800 202020244 252525305 404040488 505050610 808080976 1010101220 1262626525 2020202440 2525253050 4040404880 5050506100 10101012200 20202024400