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109228644 = 223272193259
BaseRepresentation
bin1101000001010…
…11001001100100
321121112101112100
412200223021210
5210430304034
614501052100
72464266600
oct640531144
9247471470
10109228644
1156725108
12306b7030
1319825245
1410714500
1598c9099
hex682b264

109228644 has 108 divisors (see below), whose sum is σ = 338192400. Its totient is φ = 29556576.

The previous prime is 109228607. The next prime is 109228657. The reversal of 109228644 is 446822901.

109228644 is a `hidden beast` number, since 1 + 0 + 9 + 2 + 2 + 8 + 644 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 109228599 and 109228608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31887 + ... + 35145.

Almost surely, 2109228644 is an apocalyptic number.

109228644 is a gapful number since it is divisible by the number (14) 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 109228644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169096200).

109228644 is an abundant number, since it is smaller than the sum of its proper divisors (228963756).

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

109228644 is a wasteful number, since it uses less digits than its factorization.

109228644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 109228644 is about 10451.2508342303. The cubic root of 109228644 is about 478.0193907973.

The spelling of 109228644 in words is "one hundred nine million, two hundred twenty-eight thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 49 57 63 76 84 98 114 126 133 147 171 196 228 252 266 294 342 399 441 532 588 684 798 882 931 1197 1596 1764 1862 2394 2793 3259 3724 4788 5586 6518 8379 9777 11172 13036 16758 19554 22813 29331 33516 39108 45626 58662 61921 68439 91252 117324 123842 136878 159691 185763 205317 247684 273756 319382 371526 410634 433447 479073 557289 638764 743052 821268 866894 958146 1114578 1300341 1437219 1733788 1916292 2229156 2600682 2874438 3034129 3901023 5201364 5748876 6068258 7802046 9102387 12136516 15604092 18204774 27307161 36409548 54614322 109228644