Search a number
-
+
2238621 = 37112881
BaseRepresentation
bin1000100010100010011101
311012201210220
420202202131
51033113441
6115551553
725012410
oct10424235
94181726
102238621
111299a00
128bb5b9
13604c38
14423b77
152e3466
hex22289d

2238621 has 24 divisors (see below), whose sum is σ = 3753792. Its totient is φ = 1161600.

The previous prime is 2238619. The next prime is 2238631. The reversal of 2238621 is 1268322.

It is not a de Polignac number, because 2238621 - 21 = 2238619 is a prime.

It is a super-2 number, since 2×22386212 = 10022847963282, which contains 22 as substring.

2238621 is a lucky number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 2238591 and 2238600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (156408).

22238621 is an apocalyptic number.

2238621 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2238621 is a deficient number, since it is larger than the sum of its proper divisors (1515171).

2238621 is a wasteful number, since it uses less digits than its factorization.

2238621 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 902 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 2238621 is about 1496.2021922187. The cubic root of 2238621 is about 130.8157968932.

Subtracting from 2238621 its reverse (1268322), we obtain a cube (970299 = 993).

The spelling of 2238621 in words is "two million, two hundred thirty-eight thousand, six hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 847 881 2541 2643 6167 9691 18501 29073 67837 106601 203511 319803 746207 2238621