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2134224 = 243214821
BaseRepresentation
bin1000001001000011010000
311000102121100
420021003100
51021243344
6113424400
724066141
oct10110320
94012540
102134224
111228524
1286b100
13599571
143d7ac8
152c2569
hex2090d0

2134224 has 30 divisors (see below), whose sum is σ = 5973266. Its totient is φ = 711360.

The previous prime is 2134201. The next prime is 2134241. The reversal of 2134224 is 4224312.

It can be written as a sum of positive squares in only one way, i.e., 1774224 + 360000 = 1332^2 + 600^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a d-powerful number, because it can be written as 211 + 1 + 37 + 4 + 215 + 221 + 43 .

It is a junction number, because it is equal to n+sod(n) for n = 2134197 and 2134206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7267 + ... + 7554.

22134224 is an apocalyptic number.

2134224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2134224 is an abundant number, since it is smaller than the sum of its proper divisors (3839042).

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

2134224 is a wasteful number, since it uses less digits than its factorization.

2134224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14835 (or 14826 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 2134224 is about 1460.8983537536. The cubic root of 2134224 is about 128.7498306467.

Adding to 2134224 its reverse (4224312), we get a palindrome (6358536).

The spelling of 2134224 in words is "two million, one hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14821 29642 44463 59284 88926 118568 133389 177852 237136 266778 355704 533556 711408 1067112 2134224