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109522152 = 23334183149
BaseRepresentation
bin1101000011100…
…10110011101000
321122002022011000
412201302303220
5211014202102
614511235000
72466631365
oct641626350
9248068130
10109522152
1156905683
1230818a60
13198c8a0c
141078d46c
15993601c
hex6872ce8

109522152 has 128 divisors (see below), whose sum is σ = 317520000. Its totient is φ = 34951680.

The previous prime is 109522141. The next prime is 109522169. The reversal of 109522152 is 251225901.

It is a super-2 number, since 2×1095221522 = 23990203557422208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 734974 + ... + 735122.

It is an arithmetic number, because the mean of its divisors is an integer number (2480625).

Almost surely, 2109522152 is an apocalyptic number.

109522152 is a gapful number since it is divisible by the number (12) 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 109522152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158760000).

109522152 is an abundant number, since it is smaller than the sum of its proper divisors (207997848).

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

109522152 is a wasteful number, since it uses less digits than its factorization.

109522152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 109522152 is about 10465.2831782040. The cubic root of 109522152 is about 478.4471694112.

The spelling of 109522152 in words is "one hundred nine million, five hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 82 83 108 123 149 164 166 216 246 249 298 328 332 369 447 492 498 596 664 738 747 894 984 996 1107 1192 1341 1476 1494 1788 1992 2214 2241 2682 2952 2988 3403 3576 4023 4428 4482 5364 5976 6109 6806 8046 8856 8964 10209 10728 12218 12367 13612 16092 17928 18327 20418 24436 24734 27224 30627 32184 36654 37101 40836 48872 49468 54981 61254 73308 74202 81672 91881 98936 109962 111303 122508 146616 148404 164943 183762 219924 222606 245016 296808 329886 333909 367524 439848 445212 507047 659772 667818 735048 890424 1014094 1319544 1335636 1521141 2028188 2671272 3042282 4056376 4563423 6084564 9126846 12169128 13690269 18253692 27380538 36507384 54761076 109522152