Search a number
-
+
2300110032 = 2431123375119
BaseRepresentation
bin1000100100011000…
…1110010011010000
312221022001200210110
42021012032103100
514202312010112
61020123201320
7110666420103
oct21106162320
95838050713
102300110032
11a80396790
12542376240
132a86b326c
1417b69a73a
15d6de413c
hex8918e4d0

2300110032 has 160 divisors (see below), whose sum is σ = 6948126720. Its totient is φ = 648552960.

The previous prime is 2300109971. The next prime is 2300110049.

It is a happy number.

2300110032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446769 + ... + 451887.

It is an arithmetic number, because the mean of its divisors is an integer number (43425792).

Almost surely, 22300110032 is an apocalyptic number.

2300110032 is a gapful number since it is divisible by the number (22) 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 2300110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474063360).

2300110032 is an abundant number, since it is smaller than the sum of its proper divisors (4648016688).

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

2300110032 is a wasteful number, since it uses less digits than its factorization.

2300110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2300110032 is about 47959.4623823078. The cubic root of 2300110032 is about 1320.0271711579.

It can be divided in two parts, 23001 and 10032, that added together give a palindrome (33033).

The spelling of 2300110032 in words is "two billion, three hundred million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 37 44 46 48 66 69 74 88 92 111 132 138 148 176 184 222 253 264 276 296 368 407 444 506 528 552 592 759 814 851 888 1012 1104 1221 1518 1628 1702 1776 2024 2442 2553 3036 3256 3404 4048 4884 5106 5119 6072 6512 6808 9361 9768 10212 10238 12144 13616 15357 18722 19536 20424 20476 28083 30714 37444 40848 40952 56166 56309 61428 74888 81904 112332 112618 117737 122856 149776 168927 189403 224664 225236 235474 245712 337854 353211 378806 449328 450472 470948 568209 675708 706422 757612 900944 941896 1136418 1295107 1351416 1412844 1515224 1883792 2083433 2272836 2590214 2702832 2825688 3030448 3885321 4166866 4356269 4545672 5180428 5651376 6250299 7770642 8333732 8712538 9091344 10360856 12500598 13068807 15541284 16667464 17425076 20721712 25001196 26137614 31082568 33334928 34850152 47918959 50002392 52275228 62165136 69700304 95837918 100004784 104550456 143756877 191675836 209100912 287513754 383351672 575027508 766703344 1150055016 2300110032