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2324020122 = 2321760112637
BaseRepresentation
bin1000101010000101…
…1011101110011010
312222222001110021100
42022201123232122
514224422120442
61022335452230
7111406562604
oct21241335632
95888043240
102324020122
11a92937796
1254a387076
132b0635348
14180922174
15d906884c
hex8a85bb9a

2324020122 has 48 divisors (see below), whose sum is σ = 5340869352. Its totient is φ = 727833600.

The previous prime is 2324020109. The next prime is 2324020123. The reversal of 2324020122 is 2210204232.

2324020122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2130837921 + 193182201 = 46161^2 + 13899^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2324020095 and 2324020104.

It is not an unprimeable number, because it can be changed into a prime (2324020123) 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, 177588 + ... + 190224.

Almost surely, 22324020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670434676).

2324020122 is an abundant number, since it is smaller than the sum of its proper divisors (3016849230).

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

2324020122 is a wasteful number, since it uses less digits than its factorization.

2324020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13263 (or 13260 counting only the distinct ones).

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

The square root of 2324020122 is about 48208.0918726307. The cubic root of 2324020122 is about 1324.5853924331.

Adding to 2324020122 its reverse (2210204232), we get a palindrome (4534224354).

The spelling of 2324020122 in words is "two billion, three hundred twenty-four million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 601 1202 1803 3606 5409 10217 10818 12637 20434 25274 30651 37911 61302 75822 91953 113733 183906 214829 227466 429658 644487 1288974 1933461 3866922 7594837 15189674 22784511 45569022 68353533 129112229 136707066 258224458 387336687 774673374 1162010061 2324020122