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223195920 = 2435929983
BaseRepresentation
bin11010100110110…
…11001100010000
3120112222112020120
431103123030100
5424114232140
634051510240
75350063653
oct1523331420
9515875216
10223195920
11104a96442
12628b8380
13373192bc
14218dd89a
15148dc1d0
hexd4db310

223195920 has 40 divisors (see below), whose sum is σ = 691908096. Its totient is φ = 59518848.

The previous prime is 223195913. The next prime is 223195937. The reversal of 223195920 is 29591322.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2231959203 (a number of 26 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 464752 + ... + 465231.

Almost surely, 2223195920 is an apocalyptic number.

223195920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223195920 is an abundant number, since it is smaller than the sum of its proper divisors (468712176).

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

223195920 is a wasteful number, since it uses less digits than its factorization.

223195920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929999 (or 929993 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 223195920 is about 14939.7429696766. The cubic root of 223195920 is about 606.5902384633.

It can be divided in two parts, 223195 and 920, that added together give a triangular number (224115 = T669).

The spelling of 223195920 in words is "two hundred twenty-three million, one hundred ninety-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 929983 1859966 2789949 3719932 4649915 5579898 7439864 9299830 11159796 13949745 14879728 18599660 22319592 27899490 37199320 44639184 55798980 74398640 111597960 223195920