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223025352 = 233111914423
BaseRepresentation
bin11010100101100…
…01100011001000
3120112122212021020
431102301203020
5424043302402
634044112440
75345453454
oct1522614310
9515585236
10223025352
1110498a280
1262835720
1337289784
1421897664
15148a68bc
hexd4b18c8

223025352 has 64 divisors (see below), whose sum is σ = 611573760. Its totient is φ = 67214400.

The previous prime is 223025351. The next prime is 223025359. The reversal of 223025352 is 253520322.

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

It is not an unprimeable number, because it can be changed into a prime (223025351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48213 + ... + 52635.

It is an arithmetic number, because the mean of its divisors is an integer number (9555840).

Almost surely, 2223025352 is an apocalyptic number.

223025352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223025352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305786880).

223025352 is an abundant number, since it is smaller than the sum of its proper divisors (388548408).

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

223025352 is a wasteful number, since it uses less digits than its factorization.

223025352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 223025352 is about 14934.0333466884. The cubic root of 223025352 is about 606.4356788112.

Adding to 223025352 its reverse (253520322), we get a palindrome (476545674).

The spelling of 223025352 in words is "two hundred twenty-three million, twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 191 264 382 573 764 1146 1528 2101 2292 4202 4423 4584 6303 8404 8846 12606 13269 16808 17692 25212 26538 35384 48653 50424 53076 97306 106152 145959 194612 291918 389224 583836 844793 1167672 1689586 2534379 3379172 5068758 6758344 9292723 10137516 18585446 20275032 27878169 37170892 55756338 74341784 111512676 223025352