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978228 = 223229937
BaseRepresentation
bin11101110110100110100
31211200212200
43232310310
5222300403
632544500
711212656
oct3566464
91750780
10978228
11608a59
123b2130
13283344
141b66d6
15144ca3
hexeed34

978228 has 36 divisors (see below), whose sum is σ = 2560740. Its totient is φ = 314496.

The previous prime is 978223. The next prime is 978233. The reversal of 978228 is 822879.

It is an interprime number because it is at equal distance from previous prime (978223) and next prime (978233).

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 736164 = 492^2 + 858^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 978192 and 978201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978223) by changing a digit.

978228 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, 576 + ... + 1512.

2978228 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 978228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280370).

978228 is an abundant number, since it is smaller than the sum of its proper divisors (1582512).

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

978228 is a wasteful number, since it uses less digits than its factorization.

978228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 971 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 978228 is about 989.0540935662. The cubic root of 978228 is about 99.2689351323.

The spelling of 978228 in words is "nine hundred seventy-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 937 1044 1874 2811 3748 5622 8433 11244 16866 27173 33732 54346 81519 108692 163038 244557 326076 489114 978228