Search a number
-
+
109223478 = 23471331239
BaseRepresentation
bin1101000001010…
…01111000110110
321121112010110000
412200221320312
5210430122403
614501012130
72464245540
oct640517066
9247463400
10109223478
1156721241
12306b4046
1319822aa0
1410712690
1598c77a3
hex6829e36

109223478 has 160 divisors (see below), whose sum is σ = 312238080. Its totient is φ = 27760320.

The previous prime is 109223449. The next prime is 109223497. The reversal of 109223478 is 874322901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 456883 + ... + 457121.

It is an arithmetic number, because the mean of its divisors is an integer number (1951488).

Almost surely, 2109223478 is an apocalyptic number.

109223478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 109223478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156119040).

109223478 is an abundant number, since it is smaller than the sum of its proper divisors (203014602).

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

109223478 is a wasteful number, since it uses less digits than its factorization.

109223478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 109223478 is about 10451.0036838574. The cubic root of 109223478 is about 478.0118546572.

It can be divided in two parts, 10922 and 3478, that added together give a square (14400 = 1202).

The spelling of 109223478 in words is "one hundred nine million, two hundred twenty-three thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 31 39 42 54 62 63 78 81 91 93 117 126 162 182 186 189 217 234 239 273 279 351 378 403 434 478 546 558 567 651 702 717 806 819 837 1053 1134 1209 1302 1434 1638 1673 1674 1953 2106 2151 2418 2457 2511 2821 3107 3346 3627 3906 4302 4914 5019 5022 5642 5859 6214 6453 7254 7371 7409 8463 9321 10038 10881 11718 12906 14742 14818 15057 16926 17577 18642 19359 21749 21762 22227 25389 27963 30114 32643 35154 38718 43498 44454 45171 50778 51863 55926 65247 65286 66681 76167 83889 90342 96317 103726 130494 133362 135513 152334 155589 167778 192634 195741 200043 228501 251667 271026 288951 311178 391482 400086 457002 466767 503334 577902 587223 600129 674219 866853 933534 1174446 1200258 1348438 1400301 1733706 1761669 2022657 2600559 2800602 3523338 4045314 4200903 5201118 6067971 7801677 8401806 12135942 15603354 18203913 36407826 54611739 109223478