Search a number
-
+
2221520 = 24573967
BaseRepresentation
bin1000011110010111010000
311011212100112
420132113100
51032042040
6115340452
724611510
oct10362720
94155315
102221520
111288074
128b1728
135ca212
1441b840
152dd365
hex21e5d0

2221520 has 40 divisors (see below), whose sum is σ = 5904384. Its totient is φ = 761472.

The previous prime is 2221511. The next prime is 2221523. The reversal of 2221520 is 251222.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×22215202 = 9870302220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2221495 and 2221504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221523) 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, 1424 + ... + 2543.

22221520 is an apocalyptic number.

2221520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221520 is an abundant number, since it is smaller than the sum of its proper divisors (3682864).

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

2221520 is a wasteful number, since it uses less digits than its factorization.

2221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3987 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 2221520 is about 1490.4764338962. The cubic root of 2221520 is about 130.4818410556.

Adding to 2221520 its reverse (251222), we get a palindrome (2472742).

The spelling of 2221520 in words is "two million, two hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3967 7934 15868 19835 27769 31736 39670 55538 63472 79340 111076 138845 158680 222152 277690 317360 444304 555380 1110760 2221520