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189247220 = 225192359367
BaseRepresentation
bin10110100011110…
…10111011110100
3111012002202101022
423101322323310
5341421402340
630440120312
74455401111
oct1321727364
9435082338
10189247220
1197909268
1253466098
1330290c06
141b1c3908
15119333b5
hexb47aef4

189247220 has 96 divisors (see below), whose sum is σ = 445132800. Its totient is φ = 67250304.

The previous prime is 189247189. The next prime is 189247229. The reversal of 189247220 is 22742981.

189247220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1892472203 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189247229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515477 + ... + 515843.

It is an arithmetic number, because the mean of its divisors is an integer number (4636800).

Almost surely, 2189247220 is an apocalyptic number.

189247220 is a gapful number since it is divisible by the number (10) 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 189247220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222566400).

189247220 is an abundant number, since it is smaller than the sum of its proper divisors (255885580).

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

189247220 is a wasteful number, since it uses less digits than its factorization.

189247220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 189247220 is about 13756.7154510079. The cubic root of 189247220 is about 574.1294653075.

The spelling of 189247220 in words is "one hundred eighty-nine million, two hundred forty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 23 38 46 59 76 92 95 115 118 190 230 236 295 367 380 437 460 590 734 874 1121 1180 1357 1468 1748 1835 2185 2242 2714 3670 4370 4484 5428 5605 6785 6973 7340 8441 8740 11210 13570 13946 16882 21653 22420 25783 27140 27892 33764 34865 42205 43306 51566 69730 84410 86612 103132 108265 128915 139460 160379 168820 216530 257830 320758 411407 433060 498019 515660 641516 801895 822814 996038 1603790 1645628 1992076 2057035 2490095 3207580 4114070 4980190 8228140 9462361 9960380 18924722 37849444 47311805 94623610 189247220