Search a number
-
+
2299504928 = 25741732
BaseRepresentation
bin1000100100001111…
…1010100100100000
312221020220221202012
42021003322210200
514202133124203
61020102212052
7110661320000
oct21103724440
95836827665
102299504928
11a800130a6
12542124028
132a8530a06
1417b580000
15d6d24bd8
hex890fa920

2299504928 has 90 divisors (see below), whose sum is σ = 5312065689. Its totient is φ = 979805568.

The previous prime is 2299504919. The next prime is 2299504969. The reversal of 2299504928 is 8294059922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1808971024 + 490533904 = 42532^2 + 22148^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33908.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13291850 + ... + 13292022.

Almost surely, 22299504928 is an apocalyptic number.

2299504928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2299504928

2299504928 is an abundant number, since it is smaller than the sum of its proper divisors (3012560761).

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

2299504928 is an frugal number, since it uses more digits than its factorization.

2299504928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 2299504928 is about 47953.1534729469. The cubic root of 2299504928 is about 1319.9114051344.

Multiplying 2299504928 by its sum of digits (50), we get a square (114975246400 = 3390802).

The spelling of 2299504928 in words is "two billion, two hundred ninety-nine million, five hundred four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 173 196 224 343 346 392 686 692 784 1211 1372 1384 1568 2401 2422 2744 2768 4802 4844 5488 5536 8477 9604 9688 10976 16954 19208 19376 29929 33908 38416 38752 59339 59858 67816 76832 118678 119716 135632 209503 237356 239432 271264 415373 419006 474712 478864 830746 838012 949424 957728 1466521 1661492 1676024 1898848 2933042 3322984 3352048 5866084 6645968 6704096 10265647 11732168 13291936 20531294 23464336 41062588 46928672 71859529 82125176 143719058 164250352 287438116 328500704 574876232 1149752464 2299504928