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188228016 = 2433538221
BaseRepresentation
bin10110011100000…
…10000110110000
3111010011222022000
423032002012300
5341141244031
630402214000
74443624504
oct1316020660
9433158260
10188228016
1197282549
1253054300
132ccc5032
141adda304
15117d13e6
hexb3821b0

188228016 has 80 divisors (see below), whose sum is σ = 550545120. Its totient is φ = 61551360.

The previous prime is 188228011. The next prime is 188228039. The reversal of 188228016 is 610822881.

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 (188228011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18786 + ... + 27006.

It is an arithmetic number, because the mean of its divisors is an integer number (6881814).

Almost surely, 2188228016 is an apocalyptic number.

188228016 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 188228016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275272560).

188228016 is an abundant number, since it is smaller than the sum of its proper divisors (362317104).

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

188228016 is a wasteful number, since it uses less digits than its factorization.

188228016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8291 (or 8279 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 188228016 is about 13719.6215691250. The cubic root of 188228016 is about 573.0969381785.

The spelling of 188228016 in words is "one hundred eighty-eight million, two hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1908 2544 2862 3816 5724 7632 8221 11448 16442 22896 24663 32884 49326 65768 73989 98652 131536 147978 197304 221967 295956 394608 435713 443934 591912 871426 887868 1183824 1307139 1742852 1775736 2614278 3485704 3551472 3921417 5228556 6971408 7842834 10457112 11764251 15685668 20914224 23528502 31371336 47057004 62742672 94114008 188228016