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223784080 = 245131072011
BaseRepresentation
bin11010101011010…
…10110010010000
3120121002102001021
431111222302100
5424242042310
634112245224
75355063502
oct1525526220
9517072037
10223784080
11105358323
1262b40814
1337493c20
1421a13d72
15149a65da
hexd56ac90

223784080 has 80 divisors (see below), whose sum is σ = 565838784. Its totient is φ = 81815040.

The previous prime is 223784069. The next prime is 223784081. The reversal of 223784080 is 80487322.

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

It is a super-2 number, since 2×2237840802 = 100158628922892800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223784081) 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, 110275 + ... + 112285.

Almost surely, 2223784080 is an apocalyptic number.

223784080 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 223784080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282919392).

223784080 is an abundant number, since it is smaller than the sum of its proper divisors (342054704).

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

223784080 is a wasteful number, since it uses less digits than its factorization.

223784080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 223784080 is about 14959.4144270423. The cubic root of 223784080 is about 607.1225946508.

The spelling of 223784080 in words is "two hundred twenty-three million, seven hundred eighty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 130 208 214 260 428 520 535 856 1040 1070 1391 1712 2011 2140 2782 4022 4280 5564 6955 8044 8560 10055 11128 13910 16088 20110 22256 26143 27820 32176 40220 52286 55640 80440 104572 111280 130715 160880 209144 215177 261430 418288 430354 522860 860708 1045720 1075885 1721416 2091440 2151770 2797301 3442832 4303540 5594602 8607080 11189204 13986505 17214160 22378408 27973010 44756816 55946020 111892040 223784080