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221141104 = 2431617309
BaseRepresentation
bin11010010111001…
…01100001110000
3120102010010120021
431023211201300
5423103003404
633535453224
75323445152
oct1513454160
9512103507
10221141104
11103912648
1262087214
1336a79c32
1421526ad2
1514633454
hexd2e5870

221141104 has 40 divisors (see below), whose sum is σ = 449594240. Its totient is φ = 105235200.

The previous prime is 221141101. The next prime is 221141111. The reversal of 221141104 is 401141122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221141101) 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 7 ways as a sum of consecutive naturals, for example, 26602 + ... + 33910.

It is an arithmetic number, because the mean of its divisors is an integer number (11239856).

Almost surely, 2221141104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221141104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224797120).

221141104 is an abundant number, since it is smaller than the sum of its proper divisors (228453136).

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

221141104 is a wasteful number, since it uses less digits than its factorization.

221141104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7409 (or 7403 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 221141104 is about 14870.8138311257. The cubic root of 221141104 is about 604.7230059551.

Adding to 221141104 its reverse (401141122), we get a palindrome (622282226).

The spelling of 221141104 in words is "two hundred twenty-one million, one hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 31 61 62 122 124 244 248 488 496 976 1891 3782 7309 7564 14618 15128 29236 30256 58472 116944 226579 445849 453158 891698 906316 1783396 1812632 3566792 3625264 7133584 13821319 27642638 55285276 110570552 221141104