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125332220 = 225131792693
BaseRepresentation
bin1110111100001…
…10101011111100
322201211112111002
413132012223330
5224041112340
620234145432
73051210026
oct736065374
9281745432
10125332220
1164823a52
1235b82278
131cc72ca0
1412907016
15b00a715
hex7786afc

125332220 has 48 divisors (see below), whose sum is σ = 285132960. Its totient is φ = 46000896.

The previous prime is 125332219. The next prime is 125332223. The reversal of 125332220 is 22233521.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 125332192 and 125332201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125332223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45194 + ... + 47886.

It is an arithmetic number, because the mean of its divisors is an integer number (5940270).

Almost surely, 2125332220 is an apocalyptic number.

125332220 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 125332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142566480).

125332220 is an abundant number, since it is smaller than the sum of its proper divisors (159800740).

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

125332220 is a wasteful number, since it uses less digits than its factorization.

125332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 125332220 is about 11195.1873588609. The cubic root of 125332220 is about 500.4425681513.

Adding to 125332220 its reverse (22233521), we get a palindrome (147565741).

The spelling of 125332220 in words is "one hundred twenty-five million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 179 260 358 716 895 1790 2327 2693 3580 4654 5386 9308 10772 11635 13465 23270 26930 35009 46540 53860 70018 140036 175045 350090 482047 700180 964094 1928188 2410235 4820470 6266611 9640940 12533222 25066444 31333055 62666110 125332220