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2300134144 = 28711116687
BaseRepresentation
bin1000100100011001…
…0100001100000000
312221022002220212111
42021012110030000
514202313243034
61020123505104
7110666550310
oct21106241400
95838086774
102300134144
11a80402910
12542388194
132a86c1229
1417b6a5440
15d6deb364
hex89194300

2300134144 has 72 divisors (see below), whose sum is σ = 5724246528. Its totient is φ = 896148480.

The previous prime is 2300134139. The next prime is 2300134147. The reversal of 2300134144 is 4414310032.

It is a super-2 number, since 2×23001341442 = 10581234160789225472, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300134147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38632 + ... + 78055.

It is an arithmetic number, because the mean of its divisors is an integer number (79503424).

Almost surely, 22300134144 is an apocalyptic number.

It is an amenable number.

2300134144 is an abundant number, since it is smaller than the sum of its proper divisors (3424112384).

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

2300134144 is a wasteful number, since it uses less digits than its factorization.

2300134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116721 (or 116707 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2300134144 is about 47959.7137606137. The cubic root of 2300134144 is about 1320.0317837465.

Adding to 2300134144 its reverse (4414310032), we get a palindrome (6714444176).

The spelling of 2300134144 in words is "two billion, three hundred million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 19712 116687 233374 466748 816809 933496 1283557 1633618 1866992 2567114 3267236 3733984 5134228 6534472 7467968 8984899 10268456 13068944 14935936 17969798 20536912 26137888 29871872 35939596 41073824 52275776 71879192 82147648 104551552 143758384 164295296 209103104 287516768 328590592 575033536 1150067072 2300134144