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21842144 = 251740151
BaseRepresentation
bin101001101010…
…0100011100000
31112002200210022
41103110203200
521042422034
62100053012
7353440502
oct123244340
945080708
1021842144
1111369365
127394168
1346a9a5c
142c87d72
151db6b2e
hex14d48e0

21842144 has 24 divisors (see below), whose sum is σ = 45532368. Its totient is φ = 10278400.

The previous prime is 21842137. The next prime is 21842147. The reversal of 21842144 is 44124812.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21842147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19532 + ... + 20619.

It is an arithmetic number, because the mean of its divisors is an integer number (1897182).

Almost surely, 221842144 is an apocalyptic number.

It is an amenable number.

21842144 is an abundant number, since it is smaller than the sum of its proper divisors (23690224).

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

21842144 is a wasteful number, since it uses less digits than its factorization.

21842144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40178 (or 40170 counting only the distinct ones).

The product of its digits is 2048, while the sum is 26.

The square root of 21842144 is about 4673.5579594138. The cubic root of 21842144 is about 279.5321438577.

Adding to 21842144 its reverse (44124812), we get a palindrome (65966956).

The spelling of 21842144 in words is "twenty-one million, eight hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 40151 80302 160604 321208 642416 682567 1284832 1365134 2730268 5460536 10921072 21842144