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221232210012320 = 25513106361639429
BaseRepresentation
bin110010010011010110100011…
…010010100110100010100000
31002000022121000002121211112212
4302103112203102212202200
5212444132031230343240
62102304401344341252
764412333254541063
oct6223264322464240
91060277002554485
10221232210012320
1164545065049471
122099034b614828
13965a15304b3b0
143c8b9a613a8da
151a89b56783165
hexc935a34a68a0

221232210012320 has 48 divisors (see below), whose sum is σ = 562865795863560. Its totient is φ = 81685739080704.

The previous prime is 221232210012271. The next prime is 221232210012329. The reversal of 221232210012320 is 23210012232122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107875560051856 + 113356649960464 = 10386316^2 + 10646908^2 .

It is not an unprimeable number, because it can be changed into a prime (221232210012329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53180817635 + ... + 53180821794.

Almost surely, 2221232210012320 is an apocalyptic number.

221232210012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221232210012320 is an abundant number, since it is smaller than the sum of its proper divisors (341633585851240).

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

221232210012320 is a wasteful number, since it uses less digits than its factorization.

221232210012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106361639457 (or 106361639449 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 221232210012320 its reverse (23210012232122), we get a palindrome (244442222244442).

The spelling of 221232210012320 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, two hundred ten million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 106361639429 212723278858 425446557716 531808197145 850893115432 1063616394290 1382701312577 1701786230864 2127232788580 2765402625154 3403572461728 4254465577160 5530805250308 6913506562885 8508931154320 11061610500616 13827013125770 17017862308640 22123221001232 27654026251540 44246442002464 55308052503080 110616105006160 221232210012320