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127228332 = 223711197247
BaseRepresentation
bin1111001010101…
…01100110101100
322212101212110110
413211111212230
5230032301312
620342540020
73103265040
oct745254654
9285355413
10127228332
11658a9590
1236737610
132048804a
1412c7c020
15b28243c
hex79559ac

127228332 has 96 divisors (see below), whose sum is σ = 389652480. Its totient is φ = 31302720.

The previous prime is 127228331. The next prime is 127228333. The reversal of 127228332 is 233822721.

It is an interprime number because it is at equal distance from previous prime (127228331) and next prime (127228333).

It is a self number, because there is not a number n which added to its sum of digits gives 127228332.

It is not an unprimeable number, because it can be changed into a prime (127228331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13933 + ... + 21179.

It is an arithmetic number, because the mean of its divisors is an integer number (4058880).

Almost surely, 2127228332 is an apocalyptic number.

127228332 is a gapful number since it is divisible by the number (12) 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 127228332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194826240).

127228332 is an abundant number, since it is smaller than the sum of its proper divisors (262424148).

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

127228332 is a wasteful number, since it uses less digits than its factorization.

127228332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7291 (or 7289 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 127228332 is about 11279.5537145758. The cubic root of 127228332 is about 502.9536271504.

The spelling of 127228332 in words is "one hundred twenty-seven million, two hundred twenty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 4389 5852 7247 8778 14494 17556 21741 28988 43482 50729 79717 86964 101458 137693 152187 159434 202916 239151 275386 304374 318868 413079 478302 550772 558019 608748 826158 956604 963851 1116038 1514623 1652316 1674057 1927702 2232076 2891553 3029246 3348114 3855404 4543869 5783106 6058492 6696228 9087738 10602361 11566212 18175476 21204722 31807083 42409444 63614166 127228332