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223230224100 = 2235213237127937
BaseRepresentation
bin1100111111100110001…
…1101110011011100100
3210100012022001100011210
43033321203232123210
512124133414132400
6250314530231420
722061565411612
oct3177143563344
9710168040153
10223230224100
1186742707414
123731b425570
1318086cb8600
14ab393bc6b2
155c17aad950
hex33f98ee6e4

223230224100 has 432 divisors, whose sum is σ = 724714948608. Its totient is φ = 52986286080.

The previous prime is 223230224099. The next prime is 223230224111. The reversal of 223230224100 is 1422032322.

It is a super-3 number, since 3×2232302241003 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 238238832 + ... + 238239768.

Almost surely, 2223230224100 is an apocalyptic number.

223230224100 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 223230224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362357474304).

223230224100 is an abundant number, since it is smaller than the sum of its proper divisors (501484724508).

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

223230224100 is a wasteful number, since it uses less digits than its factorization.

223230224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 223230224100 its reverse (1422032322), we get a palindrome (224652256422).

The spelling of 223230224100 in words is "two hundred twenty-three billion, two hundred thirty million, two hundred twenty-four thousand, one hundred".