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223113420 = 223352631571
BaseRepresentation
bin11010100110001…
…11000011001100
3120112211100002000
431103013003030
5424104112140
634050032300
75346301305
oct1523070314
9515740060
10223113420
11104a3a462
1262878690
13372ba89a
14218bb7ac
15148c2a30
hexd4c70cc

223113420 has 96 divisors (see below), whose sum is σ = 697213440. Its totient is φ = 59232960.

The previous prime is 223113391. The next prime is 223113433. The reversal of 223113420 is 24311322.

223113420 is a `hidden beast` number, since 2 + 231 + 13 + 420 = 666.

It is a super-3 number, since 3×2231134203 (a number of 26 digits) contains 333 as substring.

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 = 223113393 and 223113402.

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 31 ways as a sum of consecutive naturals, for example, 141235 + ... + 142805.

It is an arithmetic number, because the mean of its divisors is an integer number (7262640).

Almost surely, 2223113420 is an apocalyptic number.

223113420 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 223113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348606720).

223113420 is an abundant number, since it is smaller than the sum of its proper divisors (474100020).

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

223113420 is a wasteful number, since it uses less digits than its factorization.

223113420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223113420 is about 14936.9816228045. The cubic root of 223113420 is about 606.5154911862.

Adding to 223113420 its reverse (24311322), we get a palindrome (247424742).

It can be divided in two parts, 2231 and 13420, that added together give a palindrome (15651).

The spelling of 223113420 in words is "two hundred twenty-three million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 263 270 526 540 789 1052 1315 1571 1578 2367 2630 3142 3156 3945 4713 4734 5260 6284 7101 7855 7890 9426 9468 11835 14139 14202 15710 15780 18852 23565 23670 28278 28404 31420 35505 42417 47130 47340 56556 70695 71010 84834 94260 141390 142020 169668 212085 282780 413173 424170 826346 848340 1239519 1652692 2065865 2479038 3718557 4131730 4958076 6197595 7437114 8263460 11155671 12395190 14874228 18592785 22311342 24790380 37185570 44622684 55778355 74371140 111556710 223113420