Search a number
-
+
2225772 = 223337557
BaseRepresentation
bin1000011111011001101100
311012002012000
420133121230
51032211042
6115412300
724630063
oct10373154
94162160
102225772
11129028a
128b4090
135cc133
1441d1da
152de74c
hex21f66c

2225772 has 48 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 720576.

The previous prime is 2225771. The next prime is 2225777. The reversal of 2225772 is 2775222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2225771) 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, 3718 + ... + 4274.

It is an arithmetic number, because the mean of its divisors is an integer number (123690).

22225772 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 2225772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2225772 is an abundant number, since it is smaller than the sum of its proper divisors (3711348).

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

2225772 is a wasteful number, since it uses less digits than its factorization.

2225772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 599 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 2225772 is about 1491.9021415629. The cubic root of 2225772 is about 130.5650356243.

The spelling of 2225772 in words is "two million, two hundred twenty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 557 666 999 1114 1332 1671 1998 2228 3342 3996 5013 6684 10026 15039 20052 20609 30078 41218 60156 61827 82436 123654 185481 247308 370962 556443 741924 1112886 2225772