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223144065152 = 274329712
BaseRepresentation
bin1100111111010001101…
…1000011100010000000
3210022222021221000022122
43033310123003202000
512123444340041102
6250302211423412
722056501154421
oct3176433034200
9708867830278
10223144065152
11866a9009978
12372b65b4b68
13180721aca98
14ab2bb91648
155c102400a2
hex33f46c3880

223144065152 has 72 divisors (see below), whose sum is σ = 455592692295. Its totient is φ = 108865102080.

The previous prime is 223144065113. The next prime is 223144065187. The reversal of 223144065152 is 251560441322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 111572032576 + 111572032576 = 334024^2 + 334024^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=334024.

It is a super-3 number, since 3×2231440651523 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 229808027 + ... + 229808997.

Almost surely, 2223144065152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223144065152

223144065152 is an abundant number, since it is smaller than the sum of its proper divisors (232448627143).

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

223144065152 is an frugal number, since it uses more digits than its factorization.

223144065152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 223144065152 in words is "two hundred twenty-three billion, one hundred forty-four million, sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 971 1376 1849 1942 2752 3698 3884 5504 7396 7768 14792 15536 29584 31072 41753 59168 62144 83506 118336 124288 167012 236672 334024 668048 942841 1336096 1795379 1885682 2672192 3590758 3771364 5344384 7181516 7542728 14363032 15085456 28726064 30170912 40542163 57452128 60341824 81084326 114904256 120683648 162168652 229808512 324337304 648674608 1297349216 1743313009 2594698432 3486626018 5189396864 6973252036 13946504072 27893008144 55786016288 111572032576 223144065152