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223320420 = 223251240669
BaseRepresentation
bin11010100111110…
…01100101100100
3120120012212000200
431103321211210
5424132223140
634054310500
75351122641
oct1523714544
9516185020
10223320420
11105070a34
1262958430
1337360b7b
1421932dc8
1514914030
hexd4f9964

223320420 has 36 divisors (see below), whose sum is σ = 677405820. Its totient is φ = 59552064.

The previous prime is 223320397. The next prime is 223320421. The reversal of 223320420 is 24023322.

223320420 is a `hidden beast` number, since 223 + 3 + 20 + 420 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55980324 + 167340096 = 7482^2 + 12936^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 223320393 and 223320402.

It is not an unprimeable number, because it can be changed into a prime (223320421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 620155 + ... + 620514.

Almost surely, 2223320420 is an apocalyptic number.

223320420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223320420 is an abundant number, since it is smaller than the sum of its proper divisors (454085400).

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

223320420 is a wasteful number, since it uses less digits than its factorization.

223320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240684 (or 1240679 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 223320420 is about 14943.9091271327. The cubic root of 223320420 is about 606.7030040358.

Adding to 223320420 its reverse (24023322), we get a palindrome (247343742).

The spelling of 223320420 in words is "two hundred twenty-three million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1240669 2481338 3722007 4962676 6203345 7444014 11166021 12406690 14888028 18610035 22332042 24813380 37220070 44664084 55830105 74440140 111660210 223320420