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223132434320 = 24516317111383
BaseRepresentation
bin1100111111001110111…
…0101011111110010000
3210022221111001002211002
43033303232223332100
512123433400344240
6250301114241132
722056300253325
oct3176356537620
9708844032732
10223132434320
11866a2495514
12372b27261a8
131806c969b33
14ab2a404b4c
155c0e1e3d15
hex33f3babf90

223132434320 has 40 divisors (see below), whose sum is σ = 521965657536. Its totient is φ = 88705404288.

The previous prime is 223132434319. The next prime is 223132434331. The reversal of 223132434320 is 23434231322.

223132434320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2231324343203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8542652 + ... + 8568731.

Almost surely, 2223132434320 is an apocalyptic number.

223132434320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223132434320 is an abundant number, since it is smaller than the sum of its proper divisors (298833223216).

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

223132434320 is a wasteful number, since it uses less digits than its factorization.

223132434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17111559 (or 17111553 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 223132434320 its reverse (23434231322), we get a palindrome (246566665642).

The spelling of 223132434320 in words is "two hundred twenty-three billion, one hundred thirty-two million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2608 3260 6520 13040 17111383 34222766 68445532 85556915 136891064 171113830 273782128 342227660 684455320 1368910640 2789155429 5578310858 11156621716 13945777145 22313243432 27891554290 44626486864 55783108580 111566217160 223132434320