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125323220 = 225113311721
BaseRepresentation
bin1110111100001…
…00011111010100
322201211002010202
413132010133110
5224040320340
620234040032
73051141551
oct736043724
9281732122
10125323220
1164818210
1235b79018
131cc6bb69
1412903a28
15b007c15
hex77847d4

125323220 has 48 divisors (see below), whose sum is σ = 288138816. Its totient is φ = 45408000.

The previous prime is 125323213. The next prime is 125323241. The reversal of 125323220 is 22323521.

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 = 125323192 and 125323201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71960 + ... + 73680.

It is an arithmetic number, because the mean of its divisors is an integer number (6002892).

Almost surely, 2125323220 is an apocalyptic number.

125323220 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 125323220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144069408).

125323220 is an abundant number, since it is smaller than the sum of its proper divisors (162815596).

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

125323220 is a wasteful number, since it uses less digits than its factorization.

125323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072 (or 2070 counting only the distinct ones).

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

The square root of 125323220 is about 11194.7853932088. The cubic root of 125323220 is about 500.4305890796.

Adding to 125323220 its reverse (22323521), we get a palindrome (147646741).

The spelling of 125323220 in words is "one hundred twenty-five million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 331 662 1324 1655 1721 3310 3442 3641 6620 6884 7282 8605 14564 17210 18205 18931 34420 36410 37862 72820 75724 94655 189310 378620 569651 1139302 2278604 2848255 5696510 6266161 11393020 12532322 25064644 31330805 62661610 125323220