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2261224 = 237149271
BaseRepresentation
bin1000101000000011101000
311020212211001
420220003220
51034324344
6120244344
725135330
oct10500350
94225731
102261224
111304989
129106b4
13612304
1442c0c0
152e9ed4
hex2280e8

2261224 has 32 divisors (see below), whose sum is σ = 4896000. Its totient is φ = 959040.

The previous prime is 2261219. The next prime is 2261227. The reversal of 2261224 is 4221622.

It is a super-2 number, since 2×22612242 = 10226267956352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8209 + ... + 8479.

It is an arithmetic number, because the mean of its divisors is an integer number (153000).

22261224 is an apocalyptic number.

It is an amenable number.

2261224 is an abundant number, since it is smaller than the sum of its proper divisors (2634776).

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

2261224 is a wasteful number, since it uses less digits than its factorization.

2261224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 2261224 is about 1503.7366790765. The cubic root of 2261224 is about 131.2545987807.

Adding to 2261224 its reverse (4221622), we get a palindrome (6482846).

It can be divided in two parts, 2261 and 224, that added together give a triangular number (2485 = T70).

The spelling of 2261224 in words is "two million, two hundred sixty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 56 149 271 298 542 596 1043 1084 1192 1897 2086 2168 3794 4172 7588 8344 15176 40379 80758 161516 282653 323032 565306 1130612 2261224