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188041216 = 2111117491
BaseRepresentation
bin10110011010101…
…00100000000000
3111002211111001111
423031110200000
5341114304331
630354213104
74442216056
oct1315244000
9432744044
10188041216
1197165170
1252b84194
132cc5acbc
141ad8c1d6
1511795db1
hexb354800

188041216 has 96 divisors (see below), whose sum is σ = 435183840. Its totient is φ = 80281600.

The previous prime is 188041213. The next prime is 188041237. The reversal of 188041216 is 612140881.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (188041213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 382731 + ... + 383221.

It is an arithmetic number, because the mean of its divisors is an integer number (4533165).

Almost surely, 2188041216 is an apocalyptic number.

188041216 is a gapful number since it is divisible by the number (16) 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 188041216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217591920).

188041216 is an abundant number, since it is smaller than the sum of its proper divisors (247142624).

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

188041216 is a wasteful number, since it uses less digits than its factorization.

188041216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 188041216 is about 13712.8121113067. The cubic root of 188041216 is about 572.9072924074.

The spelling of 188041216 in words is "one hundred eighty-eight million, forty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 491 512 544 704 748 982 1024 1088 1408 1496 1964 2048 2176 2816 2992 3928 4352 5401 5632 5984 7856 8347 8704 10802 11264 11968 15712 16694 17408 21604 22528 23936 31424 33388 34816 43208 47872 62848 66776 86416 91817 95744 125696 133552 172832 183634 191488 251392 267104 345664 367268 382976 502784 534208 691328 734536 1005568 1068416 1382656 1469072 2136832 2765312 2938144 4273664 5530624 5876288 8547328 11061248 11752576 17094656 23505152 47010304 94020608 188041216