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2269332 = 2232132373
BaseRepresentation
bin1000101010000010010100
311021021221100
420222002110
51040104312
6120350100
725201062
oct10520224
94237840
102269332
11130aa8a
12915330
13615c00
14431032
152ec5dc
hex22a094

2269332 has 54 divisors (see below), whose sum is σ = 6228222. Its totient is φ = 696384.

The previous prime is 2269331. The next prime is 2269339. The reversal of 2269332 is 2339622.

It can be written as a sum of positive squares in 3 ways, for example, as 1296 + 2268036 = 36^2 + 1506^2 .

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2269296 and 2269305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2269331) 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 17 ways as a sum of consecutive naturals, for example, 5898 + ... + 6270.

22269332 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 2269332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114111).

2269332 is an abundant number, since it is smaller than the sum of its proper divisors (3958890).

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

2269332 is a wasteful number, since it uses less digits than its factorization.

2269332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 391 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 2269332 is about 1506.4302174346. The cubic root of 2269332 is about 131.4112901484.

It can be divided in two parts, 2269 and 332, that added together give a square (2601 = 512).

The spelling of 2269332 in words is "two million, two hundred sixty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 373 468 507 676 746 1014 1119 1492 1521 2028 2238 3042 3357 4476 4849 6084 6714 9698 13428 14547 19396 29094 43641 58188 63037 87282 126074 174564 189111 252148 378222 567333 756444 1134666 2269332