Search a number
-
+
223030223100 = 2232526717920663
BaseRepresentation
bin1100111110110110100…
…0110010000011111100
3210022200100201020101100
43033231220302003330
512123231214114400
6250243023413100
722053616421406
oct3175550620374
9708610636340
10223030223100
118664a823733
1237284454190
1318054730a19
14ab1a9d9b76
155c05254100
hex33eda320fc

223030223100 has 216 divisors, whose sum is σ = 713508082560. Its totient is φ = 58256922240.

The previous prime is 223030223089. The next prime is 223030223111. The reversal of 223030223100 is 1322030322.

It is a happy number.

223030223100 is a `hidden beast` number, since 22 + 30 + 302 + 2 + 310 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (223030223089) and next prime (223030223111).

It is a super-2 number, since 2×2230302231002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10783369 + ... + 10804031.

It is an arithmetic number, because the mean of its divisors is an integer number (3303278160).

Almost surely, 2223030223100 is an apocalyptic number.

223030223100 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 223030223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356754041280).

223030223100 is an abundant number, since it is smaller than the sum of its proper divisors (490477859460).

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

223030223100 is a wasteful number, since it uses less digits than its factorization.

223030223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20929 (or 20919 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 223030223100 its reverse (1322030322), we get a palindrome (224352253422).

The spelling of 223030223100 in words is "two hundred twenty-three billion, thirty million, two hundred twenty-three thousand, one hundred".