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20000233200 = 2435281120551
BaseRepresentation
bin10010101000000110…
…110101011011110000
31220121211222010010210
4102220012311123300
5311430024430300
613104334224120
71305424114533
oct225006653360
956554863123
1020000233200
118533679252
123a62055040
131b69759b1c
14d7a346a1a
157c0cb5050
hex4a81b56f0

20000233200 has 120 divisors (see below), whose sum is σ = 64149533056. Its totient is φ = 5326560000.

The previous prime is 20000233199. The next prime is 20000233217. The reversal of 20000233200 is 233200002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 962925 + ... + 983475.

Almost surely, 220000233200 is an apocalyptic number.

20000233200 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 20000233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32074766528).

20000233200 is an abundant number, since it is smaller than the sum of its proper divisors (44149299856).

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

20000233200 is a wasteful number, since it uses less digits than its factorization.

20000233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21383 (or 21372 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 20000233200 its reverse (233200002), we get a palindrome (20233433202).

The spelling of 20000233200 in words is "twenty billion, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 811 1200 1622 2433 3244 4055 4866 6488 8110 9732 12165 12976 16220 19464 20275 20551 24330 32440 38928 40550 41102 48660 60825 61653 64880 81100 82204 97320 102755 121650 123306 162200 164408 194640 205510 243300 246612 308265 324400 328816 411020 486600 493224 513775 616530 822040 973200 986448 1027550 1233060 1541325 1644080 2055100 2466120 3082650 4110200 4932240 6165300 8220400 12330600 16666861 24661200 33333722 50000583 66667444 83334305 100001166 133334888 166668610 200002332 250002915 266669776 333337220 400004664 416671525 500005830 666674440 800009328 833343050 1000011660 1250014575 1333348880 1666686100 2000023320 2500029150 3333372200 4000046640 5000058300 6666744400 10000116600 20000233200