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900228 = 223721531
BaseRepresentation
bin11011011110010000100
31200201212210
43123302010
5212301403
631143420
710436400
oct3336204
91621783
10900228
1156539a
12374b70
132569a4
14196100
1512bb03
hexdbc84

900228 has 36 divisors (see below), whose sum is σ = 2445072. Its totient is φ = 257040.

The previous prime is 900217. The next prime is 900233. The reversal of 900228 is 822009.

900228 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

900228 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 178 + ... + 1353.

2900228 is an apocalyptic number.

900228 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222536).

900228 is an abundant number, since it is smaller than the sum of its proper divisors (1544844).

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

900228 is a wasteful number, since it uses less digits than its factorization.

900228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 900228 is about 948.8034569920. The cubic root of 900228 is about 96.5570907937.

It can be divided in two parts, 900 and 228, that added together give a triangular number (1128 = T47).

The spelling of 900228 in words is "nine hundred thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1531 3062 4593 6124 9186 10717 18372 21434 32151 42868 64302 75019 128604 150038 225057 300076 450114 900228