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2023144 = 23252893
BaseRepresentation
bin111101101111011101000
310210210020021
413231323220
51004220034
6111210224
723124244
oct7557350
93723207
102023144
111162022
12816974
1355ab36
143a9424
1529e6b4
hex1edee8

2023144 has 8 divisors (see below), whose sum is σ = 3793410. Its totient is φ = 1011568.

The previous prime is 2023141. The next prime is 2023157. The reversal of 2023144 is 4413202.

It can be written as a sum of positive squares in only one way, i.e., 1855044 + 168100 = 1362^2 + 410^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-3 number, since 3×20231443 = 24842862796133309952, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2023141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126439 + ... + 126454.

22023144 is an apocalyptic number.

It is an amenable number.

2023144 is a deficient number, since it is larger than the sum of its proper divisors (1770266).

2023144 is a wasteful number, since it uses less digits than its factorization.

2023144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252899 (or 252895 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2023144 is about 1422.3726656541. The cubic root of 2023144 is about 126.4762358563.

Adding to 2023144 its reverse (4413202), we get a palindrome (6436346).

The spelling of 2023144 in words is "two million, twenty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 252893 505786 1011572 2023144