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2022144 = 2832633
BaseRepresentation
bin111101101101100000000
310210201212020
413231230000
51004202034
6111201440
723121315
oct7555400
93721766
102022144
1111612a3
12816280
1355a547
143a8d0c
1529e249
hex1edb00

2022144 has 36 divisors (see below), whose sum is σ = 5383896. Its totient is φ = 673792.

The previous prime is 2022103. The next prime is 2022149. The reversal of 2022144 is 4412202.

2022144 = 4702 + 4712 + ... + 4782.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2022149) 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, 549 + ... + 2084.

22022144 is an apocalyptic number.

2022144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2022144 is an abundant number, since it is smaller than the sum of its proper divisors (3361752).

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

2022144 is an equidigital number, since it uses as much as digits as its factorization.

2022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 2022144 is about 1422.0210968899. The cubic root of 2022144 is about 126.4553941895.

Adding to 2022144 its reverse (4412202), we get a palindrome (6434346).

It can be divided in two parts, 202 and 2144, that added together give a triangular number (2346 = T68).

The spelling of 2022144 in words is "two million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 2633 5266 7899 10532 15798 21064 31596 42128 63192 84256 126384 168512 252768 337024 505536 674048 1011072 2022144