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223132120 = 23553105251
BaseRepresentation
bin11010100110010…
…11100111011000
3120112212021201121
431103023213120
5424110211440
634050255024
75346406651
oct1523134730
9515767647
10223132120
11104a52512
1262887474
13372c6253
14218c4528
15148c834a
hexd4cb9d8

223132120 has 32 divisors (see below), whose sum is σ = 511524720. Its totient is φ = 87568000.

The previous prime is 223132069. The next prime is 223132139. The reversal of 223132120 is 21231322.

It is a super-3 number, since 3×2231321203 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223132094 and 223132103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50506 + ... + 54745.

Almost surely, 2223132120 is an apocalyptic number.

223132120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223132120 is an abundant number, since it is smaller than the sum of its proper divisors (288392600).

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

223132120 is a wasteful number, since it uses less digits than its factorization.

223132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105315 (or 105311 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 223132120 is about 14937.6075728344. The cubic root of 223132120 is about 606.5324355171.

Adding to 223132120 its reverse (21231322), we get a palindrome (244363442).

The spelling of 223132120 in words is "two hundred twenty-three million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 105251 210502 421004 526255 842008 1052510 2105020 4210040 5578303 11156606 22313212 27891515 44626424 55783030 111566060 223132120