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2221830 = 234513211
BaseRepresentation
bin1000011110011100000110
311011212210000
420132130012
51032044310
6115342130
724612432
oct10363406
94155700
102221830
111288326
128b1946
135ca3c0
1441b9c2
152dd4c0
hex21e706

2221830 has 80 divisors (see below), whose sum is σ = 6464304. Its totient is φ = 544320.

The previous prime is 2221829. The next prime is 2221837. The reversal of 2221830 is 381222.

It is a happy number.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221837) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10425 + ... + 10635.

22221830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232152).

2221830 is an abundant number, since it is smaller than the sum of its proper divisors (4242474).

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

2221830 is a wasteful number, since it uses less digits than its factorization.

2221830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2221830 is about 1490.5804238618. The cubic root of 2221830 is about 130.4879100968.

The spelling of 2221830 in words is "two million, two hundred twenty-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 211 234 270 351 390 405 422 585 633 702 810 1053 1055 1170 1266 1755 1899 2106 2110 2743 3165 3510 3798 5265 5486 5697 6330 8229 9495 10530 11394 13715 16458 17091 18990 24687 27430 28485 34182 41145 49374 56970 74061 82290 85455 123435 148122 170910 222183 246870 370305 444366 740610 1110915 2221830