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188105412 = 223117120071
BaseRepresentation
bin10110011011001…
…00001011000100
3111002221202010010
423031210023010
5341123333122
630355430220
74442604165
oct1315441304
9432852103
10188105412
11971a9420
1252bb5370
132cc812a1
141ada776c
15117a9e0c
hexb3642c4

188105412 has 48 divisors (see below), whose sum is σ = 485581824. Its totient is φ = 56196000.

The previous prime is 188105387. The next prime is 188105413. The reversal of 188105412 is 214501881.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 188105412.

It is not an unprimeable number, because it can be changed into a prime (188105413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664 + ... + 19407.

It is an arithmetic number, because the mean of its divisors is an integer number (10116288).

Almost surely, 2188105412 is an apocalyptic number.

188105412 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 188105412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242790912).

188105412 is an abundant number, since it is smaller than the sum of its proper divisors (297476412).

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

188105412 is a wasteful number, since it uses less digits than its factorization.

188105412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20160 (or 20158 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 30.

The square root of 188105412 is about 13715.1526422421. The cubic root of 188105412 is about 572.9724805487.

The spelling of 188105412 in words is "one hundred eighty-eight million, one hundred five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 132 142 213 284 426 781 852 1562 2343 3124 4686 9372 20071 40142 60213 80284 120426 220781 240852 441562 662343 883124 1324686 1425041 2649372 2850082 4275123 5700164 8550246 15675451 17100492 31350902 47026353 62701804 94052706 188105412