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125331220 = 225721953127
BaseRepresentation
bin1110111100001…
…10011100010100
322201211111010001
413132012130110
5224041044340
620234141044
73051204100
oct736063424
9281744101
10125331220
1164823223
1235b81784
131cc726b1
1412906900
15b00a29a
hex7786714

125331220 has 144 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 39626496.

The previous prime is 125331181. The next prime is 125331221. The reversal of 125331220 is 22133521.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125331221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 986797 + ... + 986923.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2125331220 is an apocalyptic number.

125331220 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 125331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

125331220 is an abundant number, since it is smaller than the sum of its proper divisors (205615340).

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

125331220 is a wasteful number, since it uses less digits than its factorization.

125331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 125331220 is about 11195.1426967234. The cubic root of 125331220 is about 500.4412371716.

Adding to 125331220 its reverse (22133521), we get a palindrome (147464741).

The spelling of 125331220 in words is "one hundred twenty-five million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 53 70 76 95 98 106 127 133 140 190 196 212 245 254 265 266 371 380 490 508 530 532 635 665 742 889 931 980 1007 1060 1270 1330 1484 1778 1855 1862 2014 2413 2540 2597 2660 3556 3710 3724 4028 4445 4655 4826 5035 5194 6223 6731 7049 7420 8890 9310 9652 10070 10388 12065 12446 12985 13462 14098 16891 17780 18620 20140 24130 24892 25970 26924 28196 31115 33655 33782 35245 47117 48260 49343 51940 62230 67310 67564 70490 84455 94234 98686 118237 124460 127889 134620 140980 168910 188468 197372 235585 236474 246715 255778 329819 337820 471170 472948 493430 511556 591185 639445 659638 895223 942340 986860 1182370 1278890 1319276 1649095 1790446 2364740 2557780 3298190 3580892 4476115 6266561 6596380 8952230 12533122 17904460 25066244 31332805 62665610 125331220