Search a number
-
+
2302232130 = 2325113762851
BaseRepresentation
bin1000100100111001…
…0100011001000010
312221110001111202200
42021032110121002
514203332412010
61020240454030
7111023436012
oct21116243102
95843044680
102302232130
11a81606090
1254301a316
132a8c77143
1417ba8dc42
15d71b2cc0
hex89394642

2302232130 has 96 divisors (see below), whose sum is σ = 6706559808. Its totient is φ = 543024000.

The previous prime is 2302232059. The next prime is 2302232137. The reversal of 2302232130 is 312322032.

It is a happy number.

2302232130 is a `hidden beast` number, since 2 + 302 + 232 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2302232137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5205 + ... + 68055.

It is an arithmetic number, because the mean of its divisors is an integer number (69859998).

Almost surely, 22302232130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353279904).

2302232130 is an abundant number, since it is smaller than the sum of its proper divisors (4404327678).

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

2302232130 is a wasteful number, since it uses less digits than its factorization.

2302232130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62912 (or 62909 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2302232130 is about 47981.5811536052. The cubic root of 2302232130 is about 1320.4330018855.

Adding to 2302232130 its reverse (312322032), we get a palindrome (2614554162).

It can be divided in two parts, 2302 and 232130, that added together give a palindrome (234432).

The spelling of 2302232130 in words is "two billion, three hundred two million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1665 2035 2442 3330 3663 4070 6105 7326 12210 18315 36630 62851 125702 188553 314255 377106 565659 628510 691361 942765 1131318 1382722 1885530 2074083 2325487 2828295 3456805 4148166 4650974 5656590 6222249 6913610 6976461 10370415 11627435 12444498 13952922 20740830 20929383 23254870 25580357 31111245 34882305 41858766 51160714 62222490 69764610 76741071 104646915 127901785 153482142 209293830 230223213 255803570 383705355 460446426 767410710 1151116065 2302232130