Search a number
-
+
221440100 = 22527316343
BaseRepresentation
bin11010011001011…
…10100001100100
3120102200022201012
431030232201210
5423142040400
633550121352
75326131650
oct1514564144
9512608635
10221440100
11103aa7252
12621b0258
1336b5305b
14215a3a60
1514691d35
hexd32e864

221440100 has 36 divisors (see below), whose sum is σ = 549173184. Its totient is φ = 75922080.

The previous prime is 221440073. The next prime is 221440103. The reversal of 221440100 is 1044122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (221440103) 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, 157472 + ... + 158871.

Almost surely, 2221440100 is an apocalyptic number.

221440100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221440100 is an abundant number, since it is smaller than the sum of its proper divisors (327733084).

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

221440100 is a wasteful number, since it uses less digits than its factorization.

221440100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316364 (or 316357 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 221440100 is about 14880.8635502111. The cubic root of 221440100 is about 604.9954237752.

Adding to 221440100 its reverse (1044122), we get a palindrome (222484222).

The spelling of 221440100 in words is "two hundred twenty-one million, four hundred forty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 316343 632686 1265372 1581715 2214401 3163430 4428802 6326860 7908575 8857604 11072005 15817150 22144010 31634300 44288020 55360025 110720050 221440100