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109223940 = 22357297383
BaseRepresentation
bin1101000001010…
…10000000000100
321121112011002010
412200222000010
5210430131230
614501014220
72464250100
oct640520004
9247464063
10109223940
1156721621
12306b4370
1319823067
1410712900
1598c79b0
hex682a004

109223940 has 144 divisors (see below), whose sum is σ = 360364032. Its totient is φ = 24643584.

The previous prime is 109223921. The next prime is 109223957. The reversal of 109223940 is 49322901.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 109223898 and 109223907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284989 + ... + 285371.

It is an arithmetic number, because the mean of its divisors is an integer number (2502528).

Almost surely, 2109223940 is an apocalyptic number.

109223940 is a gapful number since it is divisible by the number (10) 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 109223940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182016).

109223940 is an abundant number, since it is smaller than the sum of its proper divisors (251140092).

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

109223940 is a wasteful number, since it uses less digits than its factorization.

109223940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 109223940 is about 10451.0257869742. The cubic root of 109223940 is about 478.0125286306.

The spelling of 109223940 in words is "one hundred nine million, two hundred twenty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 97 98 105 140 147 194 196 210 245 291 294 383 388 420 485 490 582 588 679 735 766 970 980 1149 1164 1358 1455 1470 1532 1915 1940 2037 2298 2681 2716 2910 2940 3395 3830 4074 4596 4753 5362 5745 5820 6790 7660 8043 8148 9506 10185 10724 11490 13405 13580 14259 16086 18767 19012 20370 22980 23765 26810 28518 32172 37151 37534 40215 40740 47530 53620 56301 57036 71295 74302 75068 80430 93835 95060 111453 112602 142590 148604 160860 185755 187670 222906 225204 260057 281505 285180 371510 375340 445812 520114 557265 563010 743020 780171 1040228 1114530 1126020 1300285 1560342 1820399 2229060 2600570 3120684 3640798 3900855 5201140 5461197 7281596 7801710 9101995 10922394 15603420 18203990 21844788 27305985 36407980 54611970 109223940