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223383867840 = 263257172231667
BaseRepresentation
bin1101000000001010110…
…1110101000111000000
3210100121000011020202200
43100002231311013000
512124442232232330
6250342055313200
722065442355550
oct3200255650700
9710530136680
10223383867840
1186811408211
123736297b800
13180aca91b73
14ab51975160
155c2630ca60
hex3402b751c0

223383867840 has 1008 divisors, whose sum is σ = 973943972352. Its totient is φ = 45938737152.

The previous prime is 223383867829. The next prime is 223383867907. The reversal of 223383867840 is 48768383322.

223383867840 is a `hidden beast` number, since 223 + 38 + 386 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×2233838678402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134002687 + ... + 134004353.

Almost surely, 2223383867840 is an apocalyptic number.

223383867840 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 223383867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486971986176).

223383867840 is an abundant number, since it is smaller than the sum of its proper divisors (750560104512).

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

223383867840 is a wasteful number, since it uses less digits than its factorization.

223383867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 223383867840 in words is "two hundred twenty-three billion, three hundred eighty-three million, eight hundred sixty-seven thousand, eight hundred forty".