Search a number
-
+
21875781200 = 2452713600983
BaseRepresentation
bin10100010111111001…
…011110111001010000
32002110120010211022112
4110113321132321100
5324300144444300
614014413524452
71403050033520
oct242771367120
962416124275
1021875781200
119306343219
1242a61a3728
1320a81aba40
1410b7487680
15880792e35
hex517e5ee50

21875781200 has 120 divisors (see below), whose sum is σ = 64685109888. Its totient is φ = 6923312640.

The previous prime is 21875781181. The next prime is 21875781289. The reversal of 21875781200 is 218757812.

It is a super-2 number, since 2×218757812002 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 264092 + ... + 336891.

Almost surely, 221875781200 is an apocalyptic number.

21875781200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21875781200 is an abundant number, since it is smaller than the sum of its proper divisors (42809328688).

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

21875781200 is a wasteful number, since it uses less digits than its factorization.

21875781200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601021 (or 601010 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 41.

21875781200 divided by its reverse (218757812) gives a square (100 = 102).

The spelling of 21875781200 in words is "twenty-one billion, eight hundred seventy-five million, seven hundred eighty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4550 5200 7280 9100 18200 36400 600983 1201966 2403932 3004915 4206881 4807864 6009830 7812779 8413762 9615728 12019660 15024575 15625558 16827524 21034405 24039320 30049150 31251116 33655048 39063895 42068810 48078640 54689453 60098300 62502232 67310096 78127790 84137620 105172025 109378906 120196600 125004464 156255580 168275240 195319475 210344050 218757812 240393200 273447265 312511160 336550480 390638950 420688100 437515624 546894530 625022320 781277900 841376200 875031248 1093789060 1367236325 1562555800 1682752400 2187578120 2734472650 3125111600 4375156240 5468945300 10937890600 21875781200