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109914192 = 2433436197
BaseRepresentation
bin1101000110100…
…10100001010000
321122211012221000
412203102201100
5211114223232
614523502000
72503153353
oct643224120
9248735830
10109914192
1157053183
1230987900
1319a052ab
141085229a
1599b227c
hex68d2850

109914192 has 160 divisors (see below), whose sum is σ = 331506560. Its totient is φ = 34836480.

The previous prime is 109914191. The next prime is 109914229. The reversal of 109914192 is 291419901.

It is a super-2 number, since 2×1099141922 = 24162259206025728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109914191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133088 + ... + 1133184.

It is an arithmetic number, because the mean of its divisors is an integer number (2071916).

Almost surely, 2109914192 is an apocalyptic number.

109914192 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 109914192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165753280).

109914192 is an abundant number, since it is smaller than the sum of its proper divisors (221592368).

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

109914192 is a wasteful number, since it uses less digits than its factorization.

109914192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 109914192 is about 10483.9969477294. The cubic root of 109914192 is about 479.0173647643.

The spelling of 109914192 in words is "one hundred nine million, nine hundred fourteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 61 72 86 97 108 122 129 144 172 183 194 216 244 258 291 344 366 387 388 432 488 516 549 582 688 732 774 776 873 976 1032 1098 1161 1164 1464 1548 1552 1647 1746 2064 2196 2322 2328 2619 2623 2928 3096 3294 3492 4171 4392 4644 4656 5238 5246 5917 6192 6588 6984 7869 8342 8784 9288 10476 10492 11834 12513 13176 13968 15738 16684 17751 18576 20952 20984 23607 23668 25026 26352 31476 33368 35502 37539 41904 41968 47214 47336 50052 53253 62952 66736 70821 71004 75078 94428 94672 100104 106506 112617 125904 141642 142008 150156 159759 188856 200208 213012 225234 254431 283284 284016 300312 319518 377712 426024 450468 508862 566568 600624 639036 763293 852048 900936 1017724 1133136 1278072 1526586 1801872 2035448 2289879 2556144 3053172 4070896 4579758 6106344 6869637 9159516 12212688 13739274 18319032 27478548 36638064 54957096 109914192