Search a number
-
+
223010100 = 223252372181
BaseRepresentation
bin11010100101011…
…01110100110100
3120112122002100100
431102231310310
5424042310400
634043514100
75345361135
oct1522556464
9515562310
10223010100
11104979875
1262828930
1337282851
1421891c8c
15148a2100
hexd4add34

223010100 has 162 divisors, whose sum is σ = 722384754. Its totient is φ = 57542400.

The previous prime is 223010069. The next prime is 223010101. The reversal of 223010100 is 1010322.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 37015056 + 185995044 = 6084^2 + 13638^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223010101) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1232010 + ... + 1232190.

Almost surely, 2223010100 is an apocalyptic number.

223010100 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 223010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361192377).

223010100 is an abundant number, since it is smaller than the sum of its proper divisors (499374654).

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

223010100 is a wasteful number, since it uses less digits than its factorization.

223010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 223010100 is about 14933.5226922518. The cubic root of 223010100 is about 606.4218544220.

Adding to 223010100 its reverse (1010322), we get a palindrome (224020422).

The spelling of 223010100 in words is "two hundred twenty-three million, ten thousand, one hundred".