Search a number
-
+
188740224 = 2732198623
BaseRepresentation
bin10110011111111…
…11001010000000
3111011010222220200
423033333022000
5341304141344
630421205200
74451160021
oct1317771200
9434128820
10188740224
11975a2362
1253260800
133014420a
141b0d0c48
1511883069
hexb3ff280

188740224 has 96 divisors (see below), whose sum is σ = 571771200. Its totient is φ = 59595264.

The previous prime is 188740217. The next prime is 188740241. The reversal of 188740224 is 422047881.

188740224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17577 + ... + 26199.

It is an arithmetic number, because the mean of its divisors is an integer number (5955950).

Almost surely, 2188740224 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 188740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285885600).

188740224 is an abundant number, since it is smaller than the sum of its proper divisors (383030976).

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

188740224 is a wasteful number, since it uses less digits than its factorization.

188740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8662 (or 8647 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 188740224 is about 13738.2758743592. The cubic root of 188740224 is about 573.6163064405.

The spelling of 188740224 in words is "one hundred eighty-eight million, seven hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 8623 10944 17246 21888 25869 34492 51738 68984 77607 103476 137968 155214 163837 206952 275936 310428 327674 413904 491511 551872 620856 655348 827808 983022 1103744 1241712 1310696 1474533 1655616 1966044 2483424 2621392 2949066 3311232 3932088 4966848 5242784 5898132 7864176 9933696 10485568 11796264 15728352 20971136 23592528 31456704 47185056 62913408 94370112 188740224