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223141024032 = 2532324385667
BaseRepresentation
bin1100111111010000111…
…1011101000100100000
3210022222002012111200120
43033310033131010200
512123443100232112
6250302022320240
722056433260243
oct3176417350440
9708862174616
10223141024032
11866a7322053
12372b5589080
13180716867c4
14ab2b5dd25a
155c0ed3de8c
hex33f43dd120

223141024032 has 24 divisors (see below), whose sum is σ = 585745188336. Its totient is φ = 74380341312.

The previous prime is 223141024031. The next prime is 223141024079. The reversal of 223141024032 is 230420141322.

It is a happy number.

223141024032 is digitally balanced in base 2, 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 (24).

It is a super-3 number, since 3×2231410240323 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 223141023993 and 223141024011.

It is not an unprimeable number, because it can be changed into a prime (223141024031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1162192738 + ... + 1162192929.

It is an arithmetic number, because the mean of its divisors is an integer number (24406049514).

Almost surely, 2223141024032 is an apocalyptic number.

It is an amenable number.

223141024032 is an abundant number, since it is smaller than the sum of its proper divisors (362604164304).

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

223141024032 is a wasteful number, since it uses less digits than its factorization.

223141024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324385680 (or 2324385672 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 223141024032 its reverse (230420141322), we get a palindrome (453561165354).

The spelling of 223141024032 in words is "two hundred twenty-three billion, one hundred forty-one million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2324385667 4648771334 6973157001 9297542668 13946314002 18595085336 27892628004 37190170672 55785256008 74380341344 111570512016 223141024032