Search a number
-
+
2123213424 = 243291525297
BaseRepresentation
bin111111010001101…
…1010101001110000
312110222012102021020
41332203122221300
513322020312144
6550403455440
7103421005413
oct17643325160
95428172236
102123213424
1199a553742
124b3087580
1327ab57b07
14161dadb7a
15c6600419
hex7e8daa70

2123213424 has 40 divisors (see below), whose sum is σ = 5674108560. Its totient is φ = 683332608.

The previous prime is 2123213423. The next prime is 2123213437. The reversal of 2123213424 is 4243123212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 2123213394 and 2123213403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123213423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 761257 + ... + 764040.

It is an arithmetic number, because the mean of its divisors is an integer number (141852714).

Almost surely, 22123213424 is an apocalyptic number.

2123213424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2123213424 is an abundant number, since it is smaller than the sum of its proper divisors (3550895136).

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

2123213424 is a wasteful number, since it uses less digits than its factorization.

2123213424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525337 (or 1525331 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2123213424 is about 46078.3400742692. The cubic root of 2123213424 is about 1285.2803970564.

Adding to 2123213424 its reverse (4243123212), we get a palindrome (6366336636).

The spelling of 2123213424 in words is "two billion, one hundred twenty-three million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 1525297 3050594 4575891 6101188 9151782 12202376 18303564 24404752 36607128 44233613 73214256 88467226 132700839 176934452 265401678 353868904 530803356 707737808 1061606712 2123213424