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130522200 = 23352435059
BaseRepresentation
bin1111100011110…
…01110001011000
3100002121012210120
413301321301120
5231403202300
620541313240
73143264124
oct761716130
9302535716
10130522200
1167749296
1237865820
132106c393
1413498584
15b6d33a0
hex7c79c58

130522200 has 96 divisors (see below), whose sum is σ = 414110400. Its totient is φ = 33989760.

The previous prime is 130522151. The next prime is 130522207. The reversal of 130522200 is 2225031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130522200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130522207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23271 + ... + 28329.

It is an arithmetic number, because the mean of its divisors is an integer number (4313650).

Almost surely, 2130522200 is an apocalyptic number.

130522200 is a gapful number since it is divisible by the number (10) 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 130522200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207055200).

130522200 is an abundant number, since it is smaller than the sum of its proper divisors (283588200).

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

130522200 is a wasteful number, since it uses less digits than its factorization.

130522200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5112 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 130522200 is about 11424.6312850787. The cubic root of 130522200 is about 507.2570929405.

Adding to 130522200 its reverse (2225031), we get a palindrome (132747231).

The spelling of 130522200 in words is "one hundred thirty million, five hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 43 50 60 75 86 100 120 129 150 172 200 215 258 300 344 430 516 600 645 860 1032 1075 1290 1720 2150 2580 3225 4300 5059 5160 6450 8600 10118 12900 15177 20236 25295 25800 30354 40472 50590 60708 75885 101180 121416 126475 151770 202360 217537 252950 303540 379425 435074 505900 607080 652611 758850 870148 1011800 1087685 1305222 1517700 1740296 2175370 2610444 3035400 3263055 4350740 5220888 5438425 6526110 8701480 10876850 13052220 16315275 21753700 26104440 32630550 43507400 65261100 130522200