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223026144 = 25311211199
BaseRepresentation
bin11010100101100…
…01101111100000
3120112122220100120
431102301233200
5424043314034
634044120240
75345455665
oct1522615740
9515586316
10223026144
1110498a930
1262836080
1337289c43
1421897a6c
15148a6c49
hexd4b1be0

223026144 has 48 divisors (see below), whose sum is σ = 638668800. Its totient is φ = 67583360.

The previous prime is 223026131. The next prime is 223026151. The reversal of 223026144 is 441620322.

223026144 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 (48).

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

It is a congruent number.

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, 104544 + ... + 106655.

It is an arithmetic number, because the mean of its divisors is an integer number (13305600).

Almost surely, 2223026144 is an apocalyptic number.

223026144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

223026144 is an abundant number, since it is smaller than the sum of its proper divisors (415642656).

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

223026144 is a wasteful number, since it uses less digits than its factorization.

223026144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211223 (or 211215 counting only the distinct ones).

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

The square root of 223026144 is about 14934.0598632790. The cubic root of 223026144 is about 606.4363966616.

Adding to 223026144 its reverse (441620322), we get a palindrome (664646466).

The spelling of 223026144 in words is "two hundred twenty-three million, twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 211199 422398 633597 844796 1267194 1689592 2323189 2534388 3379184 4646378 5068776 6758368 6969567 9292756 10137552 13939134 18585512 20275104 27878268 37171024 55756536 74342048 111513072 223026144