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223534368 = 25328812
BaseRepresentation
bin11010101001011…
…01110100100000
3120120121201111200
431110231310200
5424211044433
634103041200
75353003461
oct1524556440
9516551450
10223534368
111051a7752
1262a40200
1337407375
142198ad68
1514957613
hexd52dd20

223534368 has 54 divisors (see below), whose sum is σ = 636398217. Its totient is φ = 74426880.

The previous prime is 223534357. The next prime is 223534369. The reversal of 223534368 is 863435322.

It is a happy number.

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 2 ways, for example, as 196784784 + 26749584 = 14028^2 + 5172^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=10572.

It is a super-2 number, since 2×2235343682 = 99935227354318848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (223534369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 253288 + ... + 254168.

Almost surely, 2223534368 is an apocalyptic number.

It is an amenable number.

223534368 is an abundant number, since it is smaller than the sum of its proper divisors (412863849).

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

223534368 is an frugal number, since it uses more digits than its factorization.

223534368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 886 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 223534368 is about 14951.0657814084. The cubic root of 223534368 is about 606.8966890626.

The spelling of 223534368 in words is "two hundred twenty-three million, five hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 881 1762 2643 3524 5286 7048 7929 10572 14096 15858 21144 28192 31716 42288 63432 84576 126864 253728 776161 1552322 2328483 3104644 4656966 6209288 6985449 9313932 12418576 13970898 18627864 24837152 27941796 37255728 55883592 74511456 111767184 223534368