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130217164 = 227111273329
BaseRepresentation
bin1111100001011…
…11010011001100
3100002000201100221
413300233103030
5231313422124
620531001124
73140553610
oct760572314
9302021327
10130217164
11675600a0
12377391a4
1320c9359c
1413419340
15b672ce4
hex7c2f4cc

130217164 has 48 divisors (see below), whose sum is σ = 286433280. Its totient is φ = 50319360.

The previous prime is 130217149. The next prime is 130217167. The reversal of 130217164 is 461712031.

It is not an unprimeable number, because it can be changed into a prime (130217167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37452 + ... + 40780.

It is an arithmetic number, because the mean of its divisors is an integer number (5967360).

Almost surely, 2130217164 is an apocalyptic number.

130217164 is a gapful number since it is divisible by the number (14) 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 130217164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143216640).

130217164 is an abundant number, since it is smaller than the sum of its proper divisors (156216116).

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

130217164 is a wasteful number, since it uses less digits than its factorization.

130217164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 130217164 is about 11411.2735485571. The cubic root of 130217164 is about 506.8616241504.

Adding to 130217164 its reverse (461712031), we get a palindrome (591929195).

The spelling of 130217164 in words is "one hundred thirty million, two hundred seventeen thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 127 154 254 308 508 889 1397 1778 2794 3329 3556 5588 6658 9779 13316 19558 23303 36619 39116 46606 73238 93212 146476 256333 422783 512666 845566 1025332 1691132 2959481 4650613 5918962 9301226 11837924 18602452 32554291 65108582 130217164