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2221152 = 253171361
BaseRepresentation
bin1000011110010001100000
311011211211220
420132101200
51032034102
6115335040
724610443
oct10362140
94154756
102221152
11128786a
128b1480
135c9cbb
1441b65a
152dd1bc
hex21e460

2221152 has 48 divisors (see below), whose sum is σ = 6178032. Its totient is φ = 696320.

The previous prime is 2221129. The next prime is 2221159. The reversal of 2221152 is 2511222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 952 + ... + 2312.

It is an arithmetic number, because the mean of its divisors is an integer number (128709).

22221152 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 2221152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089016).

2221152 is an abundant number, since it is smaller than the sum of its proper divisors (3956880).

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

2221152 is a wasteful number, since it uses less digits than its factorization.

2221152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1383 counting only the distinct ones).

The product of its digits is 80, while the sum is 15.

The square root of 2221152 is about 1490.3529783243. The cubic root of 2221152 is about 130.4746357833.

Adding to 2221152 its reverse (2511222), we get a palindrome (4732374).

The spelling of 2221152 in words is "two million, two hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1361 1632 2722 4083 5444 8166 10888 16332 21776 23137 32664 43552 46274 65328 69411 92548 130656 138822 185096 277644 370192 555288 740384 1110576 2221152