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127056228 = 223132314347
BaseRepresentation
bin1111001001010…
…11100101100100
322212002010101020
413210223211210
5230011244403
620335131140
73101650215
oct744534544
9285063336
10127056228
11657a1252
1236673ab0
1320427900
1412c3540c
15b24b453
hex792b964

127056228 has 144 divisors (see below), whose sum is σ = 346300416. Its totient is φ = 36167040.

The previous prime is 127056199. The next prime is 127056239. The reversal of 127056228 is 822650721.

It is a super-2 number, since 2×1270562282 = 32286570147175968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2703301 + ... + 2703347.

It is an arithmetic number, because the mean of its divisors is an integer number (2404864).

Almost surely, 2127056228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127056228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173150208).

127056228 is an abundant number, since it is smaller than the sum of its proper divisors (219244188).

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

127056228 is a wasteful number, since it uses less digits than its factorization.

127056228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 127056228 is about 11271.9221076088. The cubic root of 127056228 is about 502.7267400789.

The spelling of 127056228 in words is "one hundred twenty-seven million, fifty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 31 39 43 47 52 62 78 86 93 94 124 129 141 156 169 172 186 188 258 282 338 372 403 507 516 559 564 611 676 806 1014 1118 1209 1222 1333 1457 1612 1677 1833 2021 2028 2236 2418 2444 2666 2914 3354 3666 3999 4042 4371 4836 5239 5332 5828 6063 6708 7267 7332 7943 7998 8084 8742 10478 12126 14534 15717 15886 15996 17329 17484 18941 20956 21801 23829 24252 26273 29068 31434 31772 34658 37882 43602 47658 51987 52546 56823 62651 62868 69316 75764 78819 87204 95316 103974 105092 113646 125302 157638 187953 207948 225277 227292 246233 250604 315276 341549 375906 450554 492466 675831 683098 738699 751812 814463 901108 984932 1024647 1351662 1366196 1477398 1628926 2049294 2443389 2703324 2954796 3257852 4098588 4886778 9773556 10588019 21176038 31764057 42352076 63528114 127056228