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2216528 = 241729281
BaseRepresentation
bin1000011101001001010000
311011121111122
420131021100
51031412103
6115301412
724561116
oct10351120
94147448
102216528
111284346
128aa868
135c7b72
14419ab6
152dbb38
hex21d250

2216528 has 40 divisors (see below), whose sum is σ = 4720680. Its totient is φ = 1003520.

The previous prime is 2216519. The next prime is 2216551. The reversal of 2216528 is 8256122.

It can be written as a sum of positive squares in 4 ways, for example, as 795664 + 1420864 = 892^2 + 1192^2 .

It is a d-powerful number, because it can be written as 2 + 24 + 1 + 63 + 59 + 210 + 86 .

It is a junction number, because it is equal to n+sod(n) for n = 2216497 and 2216506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7748 + ... + 8028.

It is an arithmetic number, because the mean of its divisors is an integer number (118017).

22216528 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 2216528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360340).

2216528 is an abundant number, since it is smaller than the sum of its proper divisors (2504152).

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

2216528 is a wasteful number, since it uses less digits than its factorization.

2216528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 2216528 is about 1488.8008597526. The cubic root of 2216528 is about 130.3840320694.

It can be divided in two parts, 2216 and 528, that added together give a cube (2744 = 143).

The spelling of 2216528 in words is "two million, two hundred sixteen thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 281 464 493 562 986 1124 1972 2248 3944 4496 4777 7888 8149 9554 16298 19108 32596 38216 65192 76432 130384 138533 277066 554132 1108264 2216528