[go: up one dir, main page]

Search a number
-
+
223525200 = 24352186271
BaseRepresentation
bin11010101001010…
…11100101010000
3120120121020221010
431110223211100
5424210301300
634102530520
75352634653
oct1524534520
9516536833
10223525200
111051a0878
1262a36a40
1337403142
142198789a
1514954a50
hexd52b950

223525200 has 60 divisors (see below), whose sum is σ = 716029568. Its totient is φ = 59606400.

The previous prime is 223525147. The next prime is 223525213. The reversal of 223525200 is 2525322.

223525200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 91936 + ... + 94335.

Almost surely, 2223525200 is an apocalyptic number.

223525200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223525200 is an abundant number, since it is smaller than the sum of its proper divisors (492504368).

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

223525200 is a wasteful number, since it uses less digits than its factorization.

223525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186292 (or 186281 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 223525200 is about 14950.7591780485. The cubic root of 223525200 is about 606.8883918972. Note that the first 3 decimals are identical.

The spelling of 223525200 in words is "two hundred twenty-three million, five hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 186271 372542 558813 745084 931355 1117626 1490168 1862710 2235252 2794065 2980336 3725420 4470504 4656775 5588130 7450840 8941008 9313550 11176260 13970325 14901680 18627100 22352520 27940650 37254200 44705040 55881300 74508400 111762600 223525200