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223422320 = 24511307827
BaseRepresentation
bin11010101000100…
…10011101110000
3120120102000210202
431110102131300
5424144003240
634100414332
75352026012
oct1524223560
9516360722
10223422320
11105130550
12629a73a8
1337398374
142195c1b2
1514934315
hexd512770

223422320 has 80 divisors (see below), whose sum is σ = 569213568. Its totient is φ = 80881920.

The previous prime is 223422319. The next prime is 223422359. The reversal of 223422320 is 23224322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 223422292 and 223422301.

It is a congruent number.

It is an unprimeable number.

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, 269747 + ... + 270573.

Almost surely, 2223422320 is an apocalyptic number.

223422320 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 223422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284606784).

223422320 is an abundant number, since it is smaller than the sum of its proper divisors (345791248).

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

223422320 is a wasteful number, since it uses less digits than its factorization.

223422320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 223422320 is about 14947.3181541038. The cubic root of 223422320 is about 606.7952685278.

Adding to 223422320 its reverse (23224322), we get a palindrome (246646642).

The spelling of 223422320 in words is "two hundred twenty-three million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 307 440 614 827 880 1228 1535 1654 2456 3070 3308 3377 4135 4912 6140 6616 6754 8270 9097 12280 13232 13508 16540 16885 18194 24560 27016 33080 33770 36388 45485 54032 66160 67540 72776 90970 135080 145552 181940 253889 270160 363880 507778 727760 1015556 1269445 2031112 2538890 2792779 4062224 5077780 5585558 10155560 11171116 13963895 20311120 22342232 27927790 44684464 55855580 111711160 223422320