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1628226 = 232172313
BaseRepresentation
bin110001101100001000010
310001201111200
412031201002
5404100401
654522030
716561005
oct6154102
93051450
101628226
11a12346
12666316
13450162
1430553c
15222686
hex18d842

1628226 has 36 divisors (see below), whose sum is σ = 3759522. Its totient is φ = 509184.

The previous prime is 1628203. The next prime is 1628227. The reversal of 1628226 is 6228261.

It can be written as a sum of positive squares in 3 ways, for example, as 1320201 + 308025 = 1149^2 + 555^2 .

It is a super-2 number, since 2×16282262 = 5302239814152, which contains 22 as substring.

It is an Ulam number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1628226.

It is not an unprimeable number, because it can be changed into a prime (1628227) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5046 + ... + 5358.

21628226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879761).

1628226 is an abundant number, since it is smaller than the sum of its proper divisors (2131296).

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

1628226 is a wasteful number, since it uses less digits than its factorization.

1628226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1628226 is about 1276.0195923261. The cubic root of 1628226 is about 117.6444819926.

The spelling of 1628226 in words is "one million, six hundred twenty-eight thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 313 578 626 867 939 1734 1878 2601 2817 5202 5321 5634 10642 15963 31926 47889 90457 95778 180914 271371 542742 814113 1628226