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2822232 = 2337107157
BaseRepresentation
bin1010110001000001011000
312022101101010
422301001120
51210302412
6140253520
732663040
oct12610130
95271333
102822232
111658426
12b412a0
1377a77a
14536720
153ab33c
hex2b1058

2822232 has 64 divisors (see below), whose sum is σ = 8190720. Its totient is φ = 793728.

The previous prime is 2822213. The next prime is 2822233. The reversal of 2822232 is 2322282.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 = 2822199 and 2822208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2822233) 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, 17898 + ... + 18054.

It is an arithmetic number, because the mean of its divisors is an integer number (127980).

22822232 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 2822232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095360).

2822232 is an abundant number, since it is smaller than the sum of its proper divisors (5368488).

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

2822232 is a wasteful number, since it uses less digits than its factorization.

2822232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 276 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2822232 is about 1679.9499992559. The cubic root of 2822232 is about 141.3180286817.

The spelling of 2822232 in words is "two million, eight hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 157 168 214 314 321 428 471 628 642 749 856 942 1099 1256 1284 1498 1884 2198 2247 2568 2996 3297 3768 4396 4494 5992 6594 8792 8988 13188 16799 17976 26376 33598 50397 67196 100794 117593 134392 201588 235186 352779 403176 470372 705558 940744 1411116 2822232