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130466224 = 247323773
BaseRepresentation
bin1111100011011…
…00000110110000
3100002111101000101
413301230012300
5231344404344
620540202144
73142642000
oct761540660
9302441011
10130466224
1167710229
1237839354
132104ca65
1413482000
15b6c19d4
hex7c6c1b0

130466224 has 40 divisors (see below), whose sum is σ = 294797600. Its totient is φ = 55911744.

The previous prime is 130466221. The next prime is 130466243. The reversal of 130466224 is 422664031.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 130466192 and 130466201.

It is not an unprimeable number, because it can be changed into a prime (130466221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6399 + ... + 17374.

It is an arithmetic number, because the mean of its divisors is an integer number (7369940).

Almost surely, 2130466224 is an apocalyptic number.

130466224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130466224 is an abundant number, since it is smaller than the sum of its proper divisors (164331376).

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

130466224 is an equidigital number, since it uses as much as digits as its factorization.

130466224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23802 (or 23782 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 130466224 is about 11422.1812277691. The cubic root of 130466224 is about 507.1845681566.

It can be divided in two parts, 1304 and 66224, that added together give a triangular number (67528 = T367).

The spelling of 130466224 in words is "one hundred thirty million, four hundred sixty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 23773 47546 95092 166411 190184 332822 380368 665644 1164877 1331288 2329754 2662576 4659508 8154139 9319016 16308278 18638032 32616556 65233112 130466224