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1227133656 = 233272438089
BaseRepresentation
bin100100100100100…
…1001001011011000
310011112001211220200
41021021021023120
510003121234111
6321433422200
742260315100
oct11111111330
93145054820
101227133656
1157a759751
122a2b6a960
131673048b8
14b8d94200
1572aea256
hex492492d8

1227133656 has 144 divisors (see below), whose sum is σ = 3956495400. Its totient is φ = 342413568.

The previous prime is 1227133643. The next prime is 1227133693. The reversal of 1227133656 is 6563317221.

1227133656 is a `hidden beast` number, since 1 + 2 + 271 + 336 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1227133656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147660 + ... + 155748.

Almost surely, 21227133656 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 1227133656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978247700).

1227133656 is an abundant number, since it is smaller than the sum of its proper divisors (2729361744).

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

1227133656 is a wasteful number, since it uses less digits than its factorization.

1227133656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8158 (or 8144 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 1227133656 is about 35030.4675389867. The cubic root of 1227133656 is about 1070.6083407061.

The spelling of 1227133656 in words is "one billion, two hundred twenty-seven million, one hundred thirty-three thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 49 56 63 72 84 86 98 126 129 147 168 172 196 252 258 294 301 344 387 392 441 504 516 588 602 774 882 903 1032 1176 1204 1548 1764 1806 2107 2408 2709 3096 3528 3612 4214 5418 6321 7224 8089 8428 10836 12642 16178 16856 18963 21672 24267 25284 32356 37926 48534 50568 56623 64712 72801 75852 97068 113246 145602 151704 169869 194136 226492 291204 339738 347827 396361 452984 509607 582408 679476 695654 792722 1019214 1043481 1189083 1358952 1391308 1585444 2038428 2086962 2378166 2434789 2782616 3130443 3170888 3567249 4076856 4173924 4756332 4869578 6260886 7134498 7304367 8347848 9512664 9739156 12521772 14268996 14608734 17043523 19478312 21913101 25043544 28537992 29217468 34087046 43826202 51130569 58434936 68174092 87652404 102261138 136348184 153391707 175304808 204522276 306783414 409044552 613566828 1227133656