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223003320 = 23357325457
BaseRepresentation
bin11010100101011…
…00001010111000
3120112121202001020
431102230022320
5424042101240
634043422440
75345332311
oct1522541270
9515552036
10223003320
11104974771
1262824a20
133727c737
142188d608
15148a00d0
hexd4ac2b8

223003320 has 64 divisors (see below), whose sum is σ = 678201120. Its totient is φ = 58650624.

The previous prime is 223003309. The next prime is 223003327. The reversal of 223003320 is 23300322.

223003320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 223003320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223003327) 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 15 ways as a sum of consecutive naturals, for example, 3969 + ... + 21488.

Almost surely, 2223003320 is an apocalyptic number.

223003320 is a gapful number since it is divisible by the number (20) 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 223003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339100560).

223003320 is an abundant number, since it is smaller than the sum of its proper divisors (455197800).

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

223003320 is a wasteful number, since it uses less digits than its factorization.

223003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25544 (or 25540 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 223003320 is about 14933.2956844764. The cubic root of 223003320 is about 606.4157088381.

Adding to 223003320 its reverse (23300322), we get a palindrome (246303642).

The spelling of 223003320 in words is "two hundred twenty-three million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 25457 50914 76371 101828 127285 152742 203656 254570 305484 381855 509140 610968 763710 1018280 1527420 1858361 3054840 3716722 5575083 7433444 9291805 11150166 14866888 18583610 22300332 27875415 37167220 44600664 55750830 74334440 111501660 223003320