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2121444 = 2233131511
BaseRepresentation
bin1000000101111011100100
310222210002000
420011323210
51020341234
6113245300
724013653
oct10057344
93883060
102121444
111219966
12863830
135937c0
143d319a
152bd899
hex205ee4

2121444 has 48 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 652320.

The previous prime is 2121443. The next prime is 2121461. The reversal of 2121444 is 4441212.

2121444 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

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 (2121443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649 + ... + 2159.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

22121444 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 2121444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2121444 is an abundant number, since it is smaller than the sum of its proper divisors (3805596).

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

2121444 is a wasteful number, since it uses less digits than its factorization.

2121444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1529 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 2121444 is about 1456.5177650822. The cubic root of 2121444 is about 128.4923259458.

Adding to 2121444 its reverse (4441212), we get a palindrome (6562656).

The spelling of 2121444 in words is "two million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 1511 3022 4533 6044 9066 13599 18132 19643 27198 39286 40797 54396 58929 78572 81594 117858 163188 176787 235716 353574 530361 707148 1060722 2121444