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16213122 = 234412441
BaseRepresentation
bin111101110110…
…010010000010
31010111201020000
4331312102002
513122304442
61335300430
7254544402
oct75662202
933451200
1016213122
119174182
12551a716
133488883
142220802
151653d4c
hexf76482

16213122 has 40 divisors (see below), whose sum is σ = 37230732. Its totient is φ = 5270400.

The previous prime is 16213111. The next prime is 16213139. The reversal of 16213122 is 22131261.

16213122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12257001 + 3956121 = 3501^2 + 1989^2 .

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 junction number, because it is equal to n+sod(n) for n = 16213095 and 16213104.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5422 + ... + 7862.

Almost surely, 216213122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16213122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615366).

16213122 is an abundant number, since it is smaller than the sum of its proper divisors (21017610).

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

16213122 is a wasteful number, since it uses less digits than its factorization.

16213122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2487 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 16213122 is about 4026.5521230949. The cubic root of 16213122 is about 253.0980991988.

Adding to 16213122 its reverse (22131261), we get a palindrome (38344383).

It can be divided in two parts, 162 and 13122, that multiplied together give a square (2125764 = 14582).

The spelling of 16213122 in words is "sixteen million, two hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 2214 2441 3321 4882 6642 7323 14646 21969 43938 65907 100081 131814 197721 200162 300243 395442 600486 900729 1801458 2702187 5404374 8106561 16213122