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2229252 = 2232341197
BaseRepresentation
bin1000100000010000000100
311012020221220
420200100010
51032314002
6115440340
724643164
oct10402004
94166856
102229252
111292963
128b60b0
136008ac
144205a4
152e07bc
hex220404

2229252 has 48 divisors (see below), whose sum is σ = 5588352. Its totient is φ = 689920.

The previous prime is 2229247. The next prime is 2229263. The reversal of 2229252 is 2529222.

It is a d-powerful number, because it can be written as 2 + 26 + 28 + 92 + 217 + 54 + 221 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11218 + ... + 11414.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

22229252 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 2229252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794176).

2229252 is an abundant number, since it is smaller than the sum of its proper divisors (3359100).

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

2229252 is a wasteful number, since it uses less digits than its factorization.

2229252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 2229252 is about 1493.0679823772. The cubic root of 2229252 is about 130.6330464431.

The spelling of 2229252 in words is "two million, two hundred twenty-nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 23 41 46 69 82 92 123 138 164 197 246 276 394 492 591 788 943 1182 1886 2364 2829 3772 4531 5658 8077 9062 11316 13593 16154 18124 24231 27186 32308 48462 54372 96924 185771 371542 557313 743084 1114626 2229252