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2122344 = 233274211
BaseRepresentation
bin1000000110001001101000
310222211022100
420012021220
51020403334
6113253400
724016410
oct10061150
93884270
102122344
11121a604
12864260
13594033
143d3640
152bdc99
hex206268

2122344 has 48 divisors (see below), whose sum is σ = 6570720. Its totient is φ = 606240.

The previous prime is 2122333. The next prime is 2122349. The reversal of 2122344 is 4432212.

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 not an unprimeable number, because it can be changed into a prime (2122349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1602 + ... + 2609.

It is an arithmetic number, because the mean of its divisors is an integer number (136890).

22122344 is an apocalyptic number.

2122344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2122344 is an abundant number, since it is smaller than the sum of its proper divisors (4448376).

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

2122344 is a wasteful number, since it uses less digits than its factorization.

2122344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230 (or 4223 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2122344 is about 1456.8266883882. The cubic root of 2122344 is about 128.5104938767.

Adding to 2122344 its reverse (4432212), we get a palindrome (6554556).

It can be divided in two parts, 212 and 2344, that added together give a triangular number (2556 = T71).

The spelling of 2122344 in words is "two million, one hundred twenty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4211 8422 12633 16844 25266 29477 33688 37899 50532 58954 75798 88431 101064 117908 151596 176862 235816 265293 303192 353724 530586 707448 1061172 2122344