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2226528 = 2534859
BaseRepresentation
bin1000011111100101100000
311012010020000
420133211200
51032222103
6115420000
724632223
oct10374540
94163200
102226528
111290907
128b4600
135cc595
1441d5ba
152deaa3
hex21f960

2226528 has 60 divisors (see below), whose sum is σ = 6555780. Its totient is φ = 741312.

The previous prime is 2226527. The next prime is 2226529. The reversal of 2226528 is 8256222.

2226528 is a `hidden beast` number, since 2 + 2 + 2 + 652 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (2226527) and next prime (2226529).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226527) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2163 + ... + 3021.

It is an arithmetic number, because the mean of its divisors is an integer number (109263).

22226528 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 2226528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277890).

2226528 is an abundant number, since it is smaller than the sum of its proper divisors (4329252).

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

2226528 is an equidigital number, since it uses as much as digits as its factorization.

2226528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 864 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2226528 is about 1492.1554878765. The cubic root of 2226528 is about 130.5798164125.

The spelling of 2226528 in words is "two million, two hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 859 864 1296 1718 2577 2592 3436 5154 6872 7731 10308 13744 15462 20616 23193 27488 30924 41232 46386 61848 69579 82464 92772 123696 139158 185544 247392 278316 371088 556632 742176 1113264 2226528