Search a number
-
+
1122213000 = 233532912899
BaseRepresentation
bin100001011100011…
…1001110010001000
32220012122022211110
41002320321302020
54244241304000
6303204530320
736544440006
oct10270716210
92805568743
101122213000
11526507267
122739b09a0
1314b65a47c
14a9081a76
15687c2850
hex42e39c88

1122213000 has 128 divisors (see below), whose sum is σ = 3622320000. Its totient is φ = 288915200.

The previous prime is 1122212983. The next prime is 1122213023. The reversal of 1122213000 is 3122211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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, 80551 + ... + 93449.

It is an arithmetic number, because the mean of its divisors is an integer number (28299375).

Almost surely, 21122213000 is an apocalyptic number.

1122213000 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 1122213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811160000).

1122213000 is an abundant number, since it is smaller than the sum of its proper divisors (2500107000).

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

1122213000 is a wasteful number, since it uses less digits than its factorization.

1122213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12952 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1122213000 is about 33499.4477566422. The cubic root of 1122213000 is about 1039.1823578359.

Adding to 1122213000 its reverse (3122211), we get a palindrome (1125335211).

The spelling of 1122213000 in words is "one billion, one hundred twenty-two million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 12899 14500 17400 21750 25798 29000 38697 43500 51596 64495 77394 87000 103192 128990 154788 193485 257980 309576 322475 374071 386970 515960 644950 748142 773940 967425 1122213 1289900 1496284 1547880 1612375 1870355 1934850 2244426 2579800 2992568 3224750 3740710 3869700 4488852 4837125 5611065 6449500 7481420 7739400 8977704 9351775 9674250 11222130 12899000 14962840 18703550 19348500 22444260 28055325 37407100 38697000 44888520 46758875 56110650 74814200 93517750 112221300 140276625 187035500 224442600 280553250 374071000 561106500 1122213000