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223464320 = 27517192347
BaseRepresentation
bin11010101000111…
…00101110000000
3120120111011102022
431110130232000
5424201324240
634101341012
75352262322
oct1524345600
9516434368
10223464320
1110515a062
1262a07768
13373b1511
142196d612
15149419b5
hexd51cb80

223464320 has 256 divisors, whose sum is σ = 634521600. Its totient is φ = 74612736.

The previous prime is 223464313. The next prime is 223464347. The reversal of 223464320 is 23464322.

It is a self number, because there is not a number n which added to its sum of digits gives 223464320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4754537 + ... + 4754583.

It is an arithmetic number, because the mean of its divisors is an integer number (2478600).

Almost surely, 2223464320 is an apocalyptic number.

223464320 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 223464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317260800).

223464320 is an abundant number, since it is smaller than the sum of its proper divisors (411057280).

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

223464320 is a wasteful number, since it uses less digits than its factorization.

223464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 223464320 is about 14948.7230223856. The cubic root of 223464320 is about 606.8332889078.

The spelling of 223464320 in words is "two hundred twenty-three million, four hundred sixty-four thousand, three hundred twenty".