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221441130 = 232510922573
BaseRepresentation
bin11010011001011…
…10110001101010
3120102200101010100
431030232301222
5423142104010
633550130230
75326134651
oct1514566152
9512611110
10221441130
11103aa7aa9
12621b0976
1336b53671
14215a4198
15146922c0
hexd32ec6a

221441130 has 48 divisors (see below), whose sum is σ = 581054760. Its totient is φ = 58506624.

The previous prime is 221441113. The next prime is 221441131. The reversal of 221441130 is 31144122.

221441130 is a `hidden beast` number, since 221 + 4 + 411 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143065521 + 78375609 = 11961^2 + 8853^2 .

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

It is not an unprimeable number, because it can be changed into a prime (221441131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1477 + ... + 21096.

Almost surely, 2221441130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221441130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290527380).

221441130 is an abundant number, since it is smaller than the sum of its proper divisors (359613630).

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

221441130 is a wasteful number, since it uses less digits than its factorization.

221441130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22695 (or 22692 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221441130 is about 14880.8981583774. The cubic root of 221441130 is about 604.9963617931.

Adding to 221441130 its reverse (31144122), we get a palindrome (252585252).

The spelling of 221441130 in words is "two hundred twenty-one million, four hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 22573 45146 67719 112865 135438 203157 225730 338595 406314 677190 1015785 2031570 2460457 4920914 7381371 12302285 14762742 22144113 24604570 36906855 44288226 73813710 110720565 221441130