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188484216 = 233313741167
BaseRepresentation
bin10110011110000…
…00101001111000
3111010122222201220
423033000221320
5341222443331
630411512040
74446042444
oct1317005170
9433588656
10188484216
1197437a88
1253158620
133008482b
141b065824
1511832296
hexb3c0a78

188484216 has 128 divisors (see below), whose sum is σ = 514805760. Its totient is φ = 57369600.

The previous prime is 188484193. The next prime is 188484259. The reversal of 188484216 is 612484881.

It is a super-2 number, since 2×1884842162 = 71052599362269312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1128565 + ... + 1128731.

It is an arithmetic number, because the mean of its divisors is an integer number (4021920).

Almost surely, 2188484216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188484216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

188484216 is an abundant number, since it is smaller than the sum of its proper divisors (326321544).

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

188484216 is a wasteful number, since it uses less digits than its factorization.

188484216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 188484216 is about 13728.9553863358. The cubic root of 188484216 is about 573.3568372673.

The spelling of 188484216 in words is "one hundred eighty-eight million, four hundred eighty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 37 41 62 74 82 93 111 123 124 148 164 167 186 222 246 248 296 328 334 372 444 492 501 668 744 888 984 1002 1147 1271 1336 1517 2004 2294 2542 3034 3441 3813 4008 4551 4588 5084 5177 6068 6179 6847 6882 7626 9102 9176 10168 10354 12136 12358 13694 13764 15252 15531 18204 18537 20541 20708 24716 27388 27528 30504 31062 36408 37074 41082 41416 47027 49432 54776 62124 74148 82164 94054 124248 141081 148296 164328 188108 191549 212257 253339 282162 376216 383098 424514 506678 564324 574647 636771 760017 766196 849028 1013356 1128648 1149294 1273542 1520034 1532392 1698056 2026712 2298588 2547084 3040068 4597176 5094168 6080136 7853509 15707018 23560527 31414036 47121054 62828072 94242108 188484216