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20420044200 = 23325213186599
BaseRepresentation
bin10011000001001000…
…010010010110101000
31221201002220201120100
4103001020102112220
5313310012403300
613214132225400
71322012340363
oct230110222650
957632821510
1020420044200
118729645496
123b5a76b260
131c057167ba
14db9dc70da
157e7a8d700
hex4c12125a8

20420044200 has 144 divisors (see below), whose sum is σ = 69101604000. Its totient is φ = 5403715200.

The previous prime is 20420044189. The next prime is 20420044213. The reversal of 20420044200 is 244002402.

20420044200 is a `hidden beast` number, since 2 + 0 + 420 + 0 + 44 + 200 = 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192501 + ... + 279099.

It is an arithmetic number, because the mean of its divisors is an integer number (479872250).

Almost surely, 220420044200 is an apocalyptic number.

20420044200 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 20420044200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34550802000).

20420044200 is an abundant number, since it is smaller than the sum of its proper divisors (48681559800).

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

20420044200 is a wasteful number, since it uses less digits than its factorization.

20420044200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86752 (or 86740 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 20420044200 its reverse (244002402), we get a palindrome (20664046602).

The spelling of 20420044200 in words is "twenty billion, four hundred twenty million, forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 131 150 180 200 225 262 300 360 393 450 524 600 655 786 900 1048 1179 1310 1572 1800 1965 2358 2620 3144 3275 3930 4716 5240 5895 6550 7860 9432 9825 11790 13100 15720 19650 23580 26200 29475 39300 47160 58950 78600 86599 117900 173198 235800 259797 346396 432995 519594 692792 779391 865990 1039188 1298985 1558782 1731980 2078376 2164975 2597970 3117564 3463960 3896955 4329950 5195940 6235128 6494925 7793910 8659900 10391880 11344469 12989850 15587820 17319800 19484775 22688938 25979700 31175640 34033407 38969550 45377876 51959400 56722345 68066814 77939100 90755752 102100221 113444690 136133628 155878200 170167035 204200442 226889380 272267256 283611725 340334070 408400884 453778760 510501105 567223450 680668140 816801768 850835175 1021002210 1134446900 1361336280 1701670350 2042004420 2268893800 2552505525 3403340700 4084008840 5105011050 6806681400 10210022100 20420044200