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24102104224 = 251126224717
BaseRepresentation
bin10110011100100110…
…001110110010100000
32022012201100202100211
4112130212032302200
5343330114313344
615023343423504
71512162335302
oct263446166240
968181322324
1024102104224
11a249011700
1248078b4b94
1323714c8843
141249017972
15960e5e334
hex59c98eca0

24102104224 has 36 divisors (see below), whose sum is σ = 52156912122. Its totient is φ = 10955500160.

The previous prime is 24102104207. The next prime is 24102104237. The reversal of 24102104224 is 42240120142.

It can be written as a sum of positive squares in only one way, i.e., 14082094224 + 10020010000 = 118668^2 + 100100^2 .

It is a super-2 number, since 2×241021042242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 24102104195 and 24102104204.

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, 3108487 + ... + 3116230.

Almost surely, 224102104224 is an apocalyptic number.

It is an amenable number.

24102104224 is an abundant number, since it is smaller than the sum of its proper divisors (28054807898).

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

24102104224 is a wasteful number, since it uses less digits than its factorization.

24102104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6224749 (or 6224730 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 24102104224 its reverse (42240120142), we get a palindrome (66342224366).

The spelling of 24102104224 in words is "twenty-four billion, one hundred two million, one hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 6224717 12449434 24898868 49797736 68471887 99595472 136943774 199190944 273887548 547775096 753190757 1095550192 1506381514 2191100384 3012763028 6025526056 12051052112 24102104224