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221041404214300 = 225229473316104199
BaseRepresentation
bin110010010000100100110110…
…011000001111110000011100
31001222122100111111212000002201
4302100210312120033300130
5212433020243434324200
62102041004054101244
764362500025163465
oct6220446630176034
91058570444760081
10221041404214300
11644811511612aa
122095b37b04a824
1396451657b6727
143c82665183d6c
151a84bda59bc6a
hexc9093660fc1c

221041404214300 has 72 divisors (see below), whose sum is σ = 496304711028000. Its totient is φ = 85349672728320.

The previous prime is 221041404214291. The next prime is 221041404214321. The reversal of 221041404214300 is 3412404140122.

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, 5673601 + ... + 21777799.

It is an arithmetic number, because the mean of its divisors is an integer number (6893120986500).

Almost surely, 2221041404214300 is an apocalyptic number.

221041404214300 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 221041404214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248152355514000).

221041404214300 is an abundant number, since it is smaller than the sum of its proper divisors (275263306813700).

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

221041404214300 is a wasteful number, since it uses less digits than its factorization.

221041404214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16108975 (or 16108968 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 221041404214300 its reverse (3412404140122), we get a palindrome (224453808354422).

The spelling of 221041404214300 in words is "two hundred twenty-one trillion, forty-one billion, four hundred four million, two hundred fourteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 4733 9466 18932 23665 47330 94660 118325 137257 236650 274514 473300 549028 686285 1372570 2745140 3431425 6862850 13725700 16104199 32208398 64416796 80520995 161041990 322083980 402604975 467021771 805209950 934043542 1610419900 1868087084 2335108855 4670217710 9340435420 11675544275 23351088550 46702177100 76221173867 152442347734 304884695468 381105869335 762211738670 1524423477340 1905529346675 2210414042143 3811058693350 4420828084286 7622117386700 8841656168572 11052070210715 22104140421430 44208280842860 55260351053575 110520702107150 221041404214300