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1998922320 = 243354432089
BaseRepresentation
bin111011100100101…
…0010001001010000
312011022022202221000
41313021102021100
513043211003240
6530203502000
7100351362603
oct16711221120
95138282830
101998922320
11936380a1a
12479527900
1325b18a995
1414d69833a
15ba74d430
hex77252250

1998922320 has 160 divisors (see below), whose sum is σ = 6904022400. Its totient is φ = 531588096.

The previous prime is 1998922313. The next prime is 1998922327. The reversal of 1998922320 is 232298991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1998922313) and next prime (1998922327).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998922327) 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 31 ways as a sum of consecutive naturals, for example, 955836 + ... + 957924.

It is an arithmetic number, because the mean of its divisors is an integer number (43150140).

Almost surely, 21998922320 is an apocalyptic number.

1998922320 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 1998922320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3452011200).

1998922320 is an abundant number, since it is smaller than the sum of its proper divisors (4905100080).

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

1998922320 is a wasteful number, since it uses less digits than its factorization.

1998922320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1998922320 is about 44709.3090977707. The cubic root of 1998922320 is about 1259.6947106169.

The spelling of 1998922320 in words is "one billion, nine hundred ninety-eight million, nine hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 443 540 720 886 1080 1329 1772 2089 2160 2215 2658 3544 3987 4178 4430 5316 6267 6645 7088 7974 8356 8860 10445 10632 11961 12534 13290 15948 16712 17720 18801 19935 20890 21264 23922 25068 26580 31335 31896 33424 35440 37602 39870 41780 47844 50136 53160 56403 59805 62670 63792 75204 79740 83560 94005 95688 100272 106320 112806 119610 125340 150408 159480 167120 188010 191376 225612 239220 250680 282015 300816 318960 376020 451224 478440 501360 564030 752040 902448 925427 956880 1128060 1504080 1850854 2256120 2776281 3701708 4512240 4627135 5552562 7403416 8328843 9254270 11105124 13881405 14806832 16657686 18508540 22210248 24986529 27762810 33315372 37017080 41644215 44420496 49973058 55525620 66630744 74034160 83288430 99946116 111051240 124932645 133261488 166576860 199892232 222102480 249865290 333153720 399784464 499730580 666307440 999461160 1998922320