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130223616 = 293149569
BaseRepresentation
bin1111100001100…
…00111000000000
3100002001001012220
413300300320000
5231314123431
620531051040
73140611455
oct760607000
9302031186
10130223616
1167564a26
1237740a80
1320c964c3
141341b82c
15b674b96
hex7c30e00

130223616 has 80 divisors (see below), whose sum is σ = 349866000. Its totient is φ = 43040768.

The previous prime is 130223603. The next prime is 130223617. The reversal of 130223616 is 616322031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 228580 + ... + 229148.

It is an arithmetic number, because the mean of its divisors is an integer number (4373325).

Almost surely, 2130223616 is an apocalyptic number.

130223616 is a gapful number since it is divisible by the number (16) 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 130223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174933000).

130223616 is an abundant number, since it is smaller than the sum of its proper divisors (219642384).

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

130223616 is an equidigital number, since it uses as much as digits as its factorization.

130223616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 130223616 is about 11411.5562479444. The cubic root of 130223616 is about 506.8699953387.

Adding to 130223616 its reverse (616322031), we get a palindrome (746545647).

The spelling of 130223616 in words is "one hundred thirty million, two hundred twenty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 512 569 596 768 894 1138 1192 1536 1707 1788 2276 2384 3414 3576 4552 4768 6828 7152 9104 9536 13656 14304 18208 19072 27312 28608 36416 38144 54624 57216 72832 76288 84781 109248 114432 145664 169562 218496 228864 254343 291328 339124 436992 508686 678248 873984 1017372 1356496 2034744 2712992 4069488 5425984 8138976 10851968 16277952 21703936 32555904 43407872 65111808 130223616