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2221164 = 2232117179
BaseRepresentation
bin1000011110010001101100
311011211212100
420132101230
51032034124
6115335100
724610461
oct10362154
94154770
102221164
111287880
128b1490
135c9cca
1441b668
152dd1c9
hex21e46c

2221164 has 72 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 655200.

The previous prime is 2221159. The next prime is 2221183. The reversal of 2221164 is 4611222.

2221164 is digitally balanced in base 5, 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 (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28077 + ... + 28155.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

22221164 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 2221164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2221164 is an abundant number, since it is smaller than the sum of its proper divisors (4068756).

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

2221164 is a wasteful number, since it uses less digits than its factorization.

2221164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 166 counting only the distinct ones).

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

The square root of 2221164 is about 1490.3570042107. The cubic root of 2221164 is about 130.4748707504.

Adding to 2221164 its reverse (4611222), we get a palindrome (6832386).

The spelling of 2221164 in words is "two million, two hundred twenty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 79 99 132 142 158 198 213 237 284 316 396 426 474 639 711 781 852 869 948 1278 1422 1562 1738 2343 2556 2607 2844 3124 3476 4686 5214 5609 7029 7821 9372 10428 11218 14058 15642 16827 22436 28116 31284 33654 50481 61699 67308 100962 123398 185097 201924 246796 370194 555291 740388 1110582 2221164