Search a number
-
+
130223610 = 232511199661
BaseRepresentation
bin1111100001100…
…00110111111010
3100002001001012200
413300300313322
5231314123420
620531051030
73140611446
oct760606772
9302031180
10130223610
1167564a20
1237740a76
1320c964ba
141341b826
15b674b90
hex7c30dfa

130223610 has 96 divisors (see below), whose sum is σ = 371779200. Its totient is φ = 31363200.

The previous prime is 130223603. The next prime is 130223617. The reversal of 130223610 is 16322031.

130223610 is a `hidden beast` number, since 1 + 30 + 2 + 23 + 610 = 666.

It is an interprime number because it is at equal distance from previous prime (130223603) and next prime (130223617).

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 (130223617) 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, 196680 + ... + 197340.

It is an arithmetic number, because the mean of its divisors is an integer number (3872700).

Almost surely, 2130223610 is an apocalyptic number.

130223610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130223610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185889600).

130223610 is an abundant number, since it is smaller than the sum of its proper divisors (241555590).

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

130223610 is a wasteful number, since it uses less digits than its factorization.

130223610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130223610 is about 11411.5559850530. Note that the first 3 decimals coincide. The cubic root of 130223610 is about 506.8699875541.

Adding to 130223610 its reverse (16322031), we get a palindrome (146545641).

The spelling of 130223610 in words is "one hundred thirty million, two hundred twenty-three thousand, six hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 199 330 398 495 597 661 990 995 1194 1322 1791 1983 1990 2189 2985 3305 3582 3966 4378 5949 5970 6567 6610 7271 8955 9915 10945 11898 13134 14542 17910 19701 19830 21813 21890 29745 32835 36355 39402 43626 59490 65439 65670 72710 98505 109065 130878 131539 197010 218130 263078 327195 394617 654390 657695 789234 1183851 1315390 1446929 1973085 2367702 2893858 3946170 4340787 5919255 7234645 8681574 11838510 13022361 14469290 21703935 26044722 43407870 65111805 130223610