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111922668 = 223311137247
BaseRepresentation
bin1101010101111…
…00110111101100
321210121021001000
412222330313230
5212123011133
615034520300
72526220104
oct652746754
9253537030
10111922668
11581a5180
1231596090
131a259540
1410c16204
159c5c413
hex6abcdec

111922668 has 96 divisors (see below), whose sum is σ = 340945920. Its totient is φ = 31302720.

The previous prime is 111922667. The next prime is 111922799. The reversal of 111922668 is 866229111.

It is a super-2 number, since 2×1119226682 = 25053367224476448, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (111922667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11821 + ... + 19067.

It is an arithmetic number, because the mean of its divisors is an integer number (3551520).

Almost surely, 2111922668 is an apocalyptic number.

111922668 is a gapful number since it is divisible by the number (18) 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 111922668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170472960).

111922668 is an abundant number, since it is smaller than the sum of its proper divisors (229023252).

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

111922668 is a wasteful number, since it uses less digits than its factorization.

111922668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7276 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 111922668 is about 10579.3510197932. The cubic root of 111922668 is about 481.9174861478.

The spelling of 111922668 in words is "one hundred eleven million, nine hundred twenty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7247 7722 14494 15444 21741 28988 43482 65223 79717 86964 94211 130446 159434 188422 195669 239151 260892 282633 318868 376844 391338 478302 565266 717453 782676 847899 956604 1036321 1130532 1434906 1695798 2072642 2152359 2543697 2869812 3108963 3391596 4145284 4304718 5087394 6217926 8609436 9326889 10174788 12435852 18653778 27980667 37307556 55961334 111922668