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189998172 = 223271359983
BaseRepresentation
bin10110101001100…
…10010001011100
3111020111220111100
423110302101130
5342114420142
630504153100
74464646350
oct1324622134
9436456440
10189998172
1198281491
1253768790
1330494970
141b33b460
1511a30b4c
hexb53245c

189998172 has 144 divisors (see below), whose sum is σ = 601735680. Its totient is φ = 49209984.

The previous prime is 189998129. The next prime is 189998173. The reversal of 189998172 is 271899981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189998173) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 192793 + ... + 193775.

It is an arithmetic number, because the mean of its divisors is an integer number (4178720).

Almost surely, 2189998172 is an apocalyptic number.

189998172 is a gapful number since it is divisible by the number (12) 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 189998172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300867840).

189998172 is an abundant number, since it is smaller than the sum of its proper divisors (411737508).

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

189998172 is a wasteful number, since it uses less digits than its factorization.

189998172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1067 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The square root of 189998172 is about 13783.9824434015. The cubic root of 189998172 is about 574.8878642072.

The spelling of 189998172 in words is "one hundred eighty-nine million, nine hundred ninety-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 59 63 78 84 91 117 118 126 156 177 182 234 236 252 273 354 364 413 468 531 546 708 767 819 826 983 1062 1092 1239 1534 1638 1652 1966 2124 2301 2478 2949 3068 3276 3717 3932 4602 4956 5369 5898 6881 6903 7434 8847 9204 10738 11796 12779 13762 13806 14868 16107 17694 20643 21476 25558 27524 27612 32214 35388 38337 41286 48321 51116 57997 61929 64428 76674 82572 89453 96642 115011 115994 123858 153348 173991 178906 193284 230022 231988 247716 268359 347982 357812 405979 460044 521973 536718 695964 753961 805077 811958 1043946 1073436 1217937 1507922 1610154 1623916 2087892 2261883 2435874 3015844 3220308 3653811 4523766 4871748 5277727 6785649 7307622 9047532 10555454 13571298 14615244 15833181 21110908 27142596 31666362 47499543 63332724 94999086 189998172