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2122144 = 25174783
BaseRepresentation
bin1000000110000110100000
310222211000221
420012012200
51020402034
6113252424
724016003
oct10060640
93884027
102122144
11121a442
12864114
13593c0b
143d353a
152bdbb4
hex2061a0

2122144 has 48 divisors (see below), whose sum is σ = 4572288. Its totient is φ = 965632.

The previous prime is 2122139. The next prime is 2122151. The reversal of 2122144 is 4412212.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25527 + ... + 25609.

It is an arithmetic number, because the mean of its divisors is an integer number (95256).

22122144 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 2122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286144).

2122144 is an abundant number, since it is smaller than the sum of its proper divisors (2450144).

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

2122144 is a wasteful number, since it uses less digits than its factorization.

2122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 128, while the sum is 16.

The square root of 2122144 is about 1456.7580444260. The cubic root of 2122144 is about 128.5064570027.

Adding to 2122144 its reverse (4412212), we get a palindrome (6534356).

The spelling of 2122144 in words is "two million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 47 68 83 94 136 166 188 272 332 376 544 664 752 799 1328 1411 1504 1598 2656 2822 3196 3901 5644 6392 7802 11288 12784 15604 22576 25568 31208 45152 62416 66317 124832 132634 265268 530536 1061072 2122144