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2300024104 = 2372329139443
BaseRepresentation
bin1000100100010111…
…1001010100101000
312221021220022220221
42021011321110220
514202301232404
61020121255424
7110665611430
oct21105712450
95837808827
102300024104
11a80338174
12542334574
132a8683111
1417b6772c0
15d6dc8954
hex89179528

2300024104 has 128 divisors (see below), whose sum is σ = 5370624000. Its totient is φ = 901764864.

The previous prime is 2300024099. The next prime is 2300024131. The reversal of 2300024104 is 4014200032.

It is a super-2 number, since 2×23000241042 = 10580221757962005632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5191707 + ... + 5192149.

It is an arithmetic number, because the mean of its divisors is an integer number (41958000).

Almost surely, 22300024104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300024104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685312000).

2300024104 is an abundant number, since it is smaller than the sum of its proper divisors (3070599896).

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

2300024104 is a wasteful number, since it uses less digits than its factorization.

2300024104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 643 counting only the distinct ones).

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

The square root of 2300024104 is about 47958.5665340406. The cubic root of 2300024104 is about 1320.0107330012.

Adding to 2300024104 its reverse (4014200032), we get a palindrome (6314224136).

The spelling of 2300024104 in words is "two billion, three hundred million, twenty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 29 46 56 58 92 116 139 161 184 203 232 278 322 406 443 556 644 667 812 886 973 1112 1288 1334 1624 1772 1946 2668 3101 3197 3544 3892 4031 4669 5336 6202 6394 7784 8062 9338 10189 12404 12788 12847 16124 18676 20378 22379 24808 25576 25694 28217 32248 37352 40756 44758 51388 56434 61577 71323 81512 89516 89929 92713 102776 112868 123154 142646 179032 179858 185426 225736 246308 285292 295481 359716 370852 431039 492616 570584 590962 648991 719432 741704 862078 1181924 1297982 1416271 1724156 1785733 2068367 2363848 2595964 2832542 3448312 3571466 4136734 5191928 5665084 7142932 8273468 9913897 11330168 12500131 14285864 16546936 19827794 25000262 39655588 41071859 50000524 79311176 82143718 100001048 164287436 287503013 328574872 575006026 1150012052 2300024104