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223230100 = 22528532617
BaseRepresentation
bin11010100111000…
…11100010010100
3120120001021010111
431103203202110
5424121330400
634052332404
75350265422
oct1523434224
9516037114
10223230100
1110500a095
1262914104
133732ba22
142190c112
15148e73ba
hexd4e3894

223230100 has 36 divisors (see below), whose sum is σ = 485162524. Its totient is φ = 89153280.

The previous prime is 223230097. The next prime is 223230103. The reversal of 223230100 is 1032322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (223230097) and next prime (223230103).

It can be written as a sum of positive squares in 6 ways, for example, as 2172676 + 221057424 = 1474^2 + 14868^2 .

It is a super-3 number, since 3×2232301003 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223230103) by changing a digit.

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, 83992 + ... + 86608.

Almost surely, 2223230100 is an apocalyptic number.

223230100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223230100 is an abundant number, since it is smaller than the sum of its proper divisors (261932424).

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

223230100 is a wasteful number, since it uses less digits than its factorization.

223230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3477 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 223230100 is about 14940.8868545344. The cubic root of 223230100 is about 606.6212010903.

Adding to 223230100 its reverse (1032322), we get a palindrome (224262422).

The spelling of 223230100 in words is "two hundred twenty-three million, two hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 853 1706 2617 3412 4265 5234 8530 10468 13085 17060 21325 26170 42650 52340 65425 85300 130850 261700 2232301 4464602 8929204 11161505 22323010 44646020 55807525 111615050 223230100