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2001189300 = 22352113171913
BaseRepresentation
bin111011101000111…
…1011100110110100
312011110120221122020
41313101323212310
513044301024200
6530324233140
7100406554065
oct16721734664
95143527566
102001189300
1193768a160
1247a23b7b0
1325b7a27a6
1414dac856c
15baa49ea0
hex7747b9b4

2001189300 has 144 divisors (see below), whose sum is σ = 6339719232. Its totient is φ = 483353600.

The previous prime is 2001189271. The next prime is 2001189331. The reversal of 2001189300 is 39811002.

It is a super-2 number, since 2×20011893002 = 8009517228868980000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045144 + ... + 1047056.

It is an arithmetic number, because the mean of its divisors is an integer number (44025828).

Almost surely, 22001189300 is an apocalyptic number.

2001189300 is a gapful number since it is divisible by the number (20) 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 2001189300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169859616).

2001189300 is an abundant number, since it is smaller than the sum of its proper divisors (4338529932).

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

2001189300 is a wasteful number, since it uses less digits than its factorization.

2001189300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 2001189300 is about 44734.6543520792. The cubic root of 2001189300 is about 1260.1707377599.

The spelling of 2001189300 in words is "two billion, one million, one hundred eighty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 317 330 550 634 660 825 951 1100 1268 1585 1650 1902 1913 3170 3300 3487 3804 3826 4755 5739 6340 6974 7652 7925 9510 9565 10461 11478 13948 15850 17435 19020 19130 20922 21043 22956 23775 28695 31700 34870 38260 41844 42086 47550 47825 52305 57390 63129 69740 84172 87175 95100 95650 104610 105215 114780 126258 143475 174350 191300 209220 210430 252516 261525 286950 315645 348700 420860 523050 526075 573900 606421 631290 1046100 1052150 1212842 1262580 1578225 1819263 2104300 2425684 3032105 3156450 3638526 6064210 6312900 6670631 7277052 9096315 12128420 13341262 15160525 18192630 20011893 26682524 30321050 33353155 36385260 40023786 45481575 60642100 66706310 80047572 90963150 100059465 133412620 166765775 181926300 200118930 333531550 400237860 500297325 667063100 1000594650 2001189300