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906228 = 22342797
BaseRepresentation
bin11011101001111110100
31201001010000
43131033310
5212444403
631231300
710463031
oct3351764
91631100
10906228
11569954
12378530
1325963b
14198388
1512d7a3
hexdd3f4

906228 has 30 divisors (see below), whose sum is σ = 2369906. Its totient is φ = 301968.

The previous prime is 906211. The next prime is 906229. The reversal of 906228 is 822609.

It can be written as a sum of positive squares in only one way, i.e., 842724 + 63504 = 918^2 + 252^2 .

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (906229) by changing a digit.

906228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1075 + ... + 1722.

2906228 is an apocalyptic number.

It is an amenable number.

906228 is an abundant number, since it is smaller than the sum of its proper divisors (1463678).

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

906228 is a wasteful number, since it uses less digits than its factorization.

906228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2813 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 906228 is about 951.9600831968. The cubic root of 906228 is about 96.7711329355.

The spelling of 906228 in words is "nine hundred six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2797 5594 8391 11188 16782 25173 33564 50346 75519 100692 151038 226557 302076 453114 906228