Search a number
-
+
2229546 = 231123783
BaseRepresentation
bin1000100000010100101010
311012021100210
420200110222
51032321141
6115441550
724644064
oct10402452
94167323
102229546
111293100
128b62b6
13600a77
14420734
152e0916
hex22052a

2229546 has 48 divisors (see below), whose sum is σ = 5094432. Its totient is φ = 649440.

The previous prime is 2229541. The next prime is 2229547. The reversal of 2229546 is 6459222.

It is a super-2 number, since 2×22295462 = 9941750732232, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 27 + 217 + 221 + 9 + 53 + 45 + 62 .

It is not an unprimeable number, because it can be changed into a prime (2229541) 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 23 ways as a sum of consecutive naturals, for example, 26821 + ... + 26903.

It is an arithmetic number, because the mean of its divisors is an integer number (106134).

22229546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2229546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547216).

2229546 is an abundant number, since it is smaller than the sum of its proper divisors (2864886).

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

2229546 is a wasteful number, since it uses less digits than its factorization.

2229546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 136 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 2229546 is about 1493.1664341258. The cubic root of 2229546 is about 130.6387889414.

It can be divided in two parts, 2229 and 546, that added together give a triangular number (2775 = T74).

The spelling of 2229546 in words is "two million, two hundred twenty-nine thousand, five hundred forty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 83 111 121 166 222 242 249 363 407 498 726 814 913 1221 1826 2442 2739 3071 4477 5478 6142 8954 9213 10043 13431 18426 20086 26862 30129 33781 60258 67562 101343 202686 371591 743182 1114773 2229546