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2221464 = 233721889
BaseRepresentation
bin1000011110010110011000
311011212021110
420132112120
51032041324
6115340320
724611400
oct10362630
94155243
102221464
111288023
128b16a0
135ca19b
1441b800
152dd329
hex21e598

2221464 has 48 divisors (see below), whose sum is σ = 6463800. Its totient is φ = 634368.

The previous prime is 2221459. The next prime is 2221507. The reversal of 2221464 is 4641222.

2221464 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 (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2221464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232 + ... + 2120.

22221464 is an apocalyptic number.

2221464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2221464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231900).

2221464 is an abundant number, since it is smaller than the sum of its proper divisors (4242336).

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

2221464 is a wasteful number, since it uses less digits than its factorization.

2221464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1912 (or 1901 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2221464 is about 1490.4576478384. The cubic root of 2221464 is about 130.4807446524.

Adding to 2221464 its reverse (4641222), we get a palindrome (6862686).

The spelling of 2221464 in words is "two million, two hundred twenty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 1889 3778 5667 7556 11334 13223 15112 22668 26446 39669 45336 52892 79338 92561 105784 158676 185122 277683 317352 370244 555366 740488 1110732 2221464