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223433113224 = 23379521226189
BaseRepresentation
bin1101000000010110100…
…1101011111010001000
3210100201102211011201210
43100011221223322020
512130042334110344
6250351015013120
722066611061236
oct3200551537210
9710642734653
10223433113224
1186837192a82
123737736a1a0
13180ba044949
14ab58313956
155c2a7d8db9
hex3405a6be88

223433113224 has 64 divisors (see below), whose sum is σ = 566741664000. Its totient is φ = 73393482240.

The previous prime is 223433113217. The next prime is 223433113271. The reversal of 223433113224 is 422311334322.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 223433113191 and 223433113200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 874722 + ... + 1100910.

It is an arithmetic number, because the mean of its divisors is an integer number (8855338500).

Almost surely, 2223433113224 is an apocalyptic number.

223433113224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223433113224 is an abundant number, since it is smaller than the sum of its proper divisors (343308550776).

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

223433113224 is a wasteful number, since it uses less digits than its factorization.

223433113224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226798 (or 226794 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 223433113224 its reverse (422311334322), we get a palindrome (645744447546).

The spelling of 223433113224 in words is "two hundred twenty-three billion, four hundred thirty-three million, one hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 521 632 948 1042 1563 1896 2084 3126 4168 6252 12504 41159 82318 123477 164636 226189 246954 329272 452378 493908 678567 904756 987816 1357134 1809512 2714268 5428536 17868931 35737862 53606793 71475724 107213586 117844469 142951448 214427172 235688938 353533407 428854344 471377876 707066814 942755752 1414133628 2828267256 9309713051 18619426102 27929139153 37238852204 55858278306 74477704408 111716556612 223433113224