Search a number
-
+
2228436 = 2232737239
BaseRepresentation
bin1000100000000011010100
311012012211200
420200003110
51032302221
6115432500
724640620
oct10400324
94165750
102228436
111292291
128b5730
13600402
14420180
152e0426
hex2200d4

2228436 has 72 divisors (see below), whose sum is σ = 6639360. Its totient is φ = 616896.

The previous prime is 2228431. The next prime is 2228437. The reversal of 2228436 is 6348222.

2228436 is a `hidden beast` number, since 2 + 228 + 436 = 666.

Its product of digits (4608) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9205 + ... + 9443.

22228436 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 2228436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319680).

2228436 is an abundant number, since it is smaller than the sum of its proper divisors (4410924).

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

2228436 is a wasteful number, since it uses less digits than its factorization.

2228436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 288 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2228436 is about 1492.7946945243. The cubic root of 2228436 is about 130.6171054347.

The spelling of 2228436 in words is "two million, two hundred twenty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 239 252 259 333 444 478 518 666 717 777 956 1036 1332 1434 1554 1673 2151 2331 2868 3108 3346 4302 4662 5019 6692 8604 8843 9324 10038 15057 17686 20076 26529 30114 35372 53058 60228 61901 79587 106116 123802 159174 185703 247604 318348 371406 557109 742812 1114218 2228436