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189224910 = 23457231451
BaseRepresentation
bin10110100011101…
…01011111001110
3111012001121210000
423101311133032
5341420144120
630435425130
74455246060
oct1321653716
9435047700
10189224910
11978a3526
12534551a6
1330283a04
141b1b9730
151192b990
hexb4757ce

189224910 has 160 divisors (see below), whose sum is σ = 607191552. Its totient is φ = 41342400.

The previous prime is 189224891. The next prime is 189224923. The reversal of 189224910 is 19422981.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 129685 + ... + 131135.

Almost surely, 2189224910 is an apocalyptic number.

189224910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 189224910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303595776).

189224910 is an abundant number, since it is smaller than the sum of its proper divisors (417966642).

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

189224910 is a wasteful number, since it uses less digits than its factorization.

189224910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 189224910 is about 13755.9045504103. The cubic root of 189224910 is about 574.1069034054.

It can be divided in two parts, 18922 and 4910, that added together give a palindrome (23832).

The spelling of 189224910 in words is "one hundred eighty-nine million, two hundred twenty-four thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 81 90 105 115 126 135 138 161 162 189 207 210 230 270 315 322 345 378 405 414 483 567 621 630 690 805 810 945 966 1035 1134 1242 1449 1451 1610 1863 1890 2070 2415 2835 2898 2902 3105 3726 4347 4353 4830 5670 6210 7245 7255 8694 8706 9315 10157 13041 13059 14490 14510 18630 20314 21735 21765 26082 26118 30471 33373 39177 43470 43530 50785 60942 65205 65295 66746 78354 91413 100119 101570 117531 130410 130590 152355 166865 182826 195885 200238 233611 235062 274239 300357 304710 333730 391770 457065 467222 500595 548478 587655 600714 700833 822717 901071 914130 1001190 1168055 1175310 1371195 1401666 1501785 1645434 1802142 2102499 2336110 2703213 2742390 3003570 3504165 4113585 4204998 4505355 5406426 6307497 7008330 8227170 9010710 10512495 12614994 13516065 18922491 21024990 27032130 31537485 37844982 63074970 94612455 189224910