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21593194200 = 23325226345613
BaseRepresentation
bin10100000111000011…
…011111111011011000
32001201212101220211100
4110013003133323120
5323210324203300
613530401031400
71363046056644
oct240703377330
961655356740
1021593194200
119180882446
124227625560
1320617999b6
14108bb27c24
15865a73700
hex5070dfed8

21593194200 has 144 divisors (see below), whose sum is σ = 72794470320. Its totient is φ = 5736165120.

The previous prime is 21593194199. The next prime is 21593194223. The reversal of 21593194200 is 249139512.

21593194200 is a `hidden beast` number, since 21 + 593 + 1 + 9 + 42 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 450594 + ... + 496206.

It is an arithmetic number, because the mean of its divisors is an integer number (505517155).

Almost surely, 221593194200 is an apocalyptic number.

21593194200 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 21593194200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36397235160).

21593194200 is an abundant number, since it is smaller than the sum of its proper divisors (51201276120).

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

21593194200 is a wasteful number, since it uses less digits than its factorization.

21593194200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45898 (or 45886 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 21593194200 in words is "twenty-one billion, five hundred ninety-three million, one hundred ninety-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 90 100 120 150 180 200 225 263 300 360 450 526 600 789 900 1052 1315 1578 1800 2104 2367 2630 3156 3945 4734 5260 6312 6575 7890 9468 10520 11835 13150 15780 18936 19725 23670 26300 31560 39450 45613 47340 52600 59175 78900 91226 94680 118350 136839 157800 182452 228065 236700 273678 364904 410517 456130 473400 547356 684195 821034 912260 1094712 1140325 1368390 1642068 1824520 2052585 2280650 2736780 3284136 3420975 4105170 4561300 5473560 6841950 8210340 9122600 10262925 11996219 13683900 16420680 20525850 23992438 27367800 35988657 41051700 47984876 59981095 71977314 82103400 95969752 107965971 119962190 143954628 179943285 215931942 239924380 287909256 299905475 359886570 431863884 479848760 539829855 599810950 719773140 863727768 899716425 1079659710 1199621900 1439546280 1799432850 2159319420 2399243800 2699149275 3598865700 4318638840 5398298550 7197731400 10796597100 21593194200