Search a number
-
+
1122441000 = 233531372731
BaseRepresentation
bin100001011100111…
…0001011100101000
32220020001220120220
41002321301130220
54244321103000
6303213450040
736546406512
oct10271613450
92806056526
101122441000
1152665259a
12273aa0920
1314b70a195
14a9100bb2
156881a1a0
hex42e71728

1122441000 has 128 divisors (see below), whose sum is σ = 3528869760. Its totient is φ = 297024000.

The previous prime is 1122440999. The next prime is 1122441007. The reversal of 1122441000 is 1442211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1122441007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409635 + ... + 412365.

It is an arithmetic number, because the mean of its divisors is an integer number (27569295).

Almost surely, 21122441000 is an apocalyptic number.

1122441000 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 1122441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764434880).

1122441000 is an abundant number, since it is smaller than the sum of its proper divisors (2406428760).

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

1122441000 is a wasteful number, since it uses less digits than its factorization.

1122441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1122441000 is about 33502.8506249841. The cubic root of 1122441000 is about 1039.2527299588.

Adding to 1122441000 its reverse (1442211), we get a palindrome (1123883211).

The spelling of 1122441000 in words is "one billion, one hundred twenty-two million, four hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 137 150 200 250 274 300 375 411 500 548 600 685 750 822 1000 1096 1370 1500 1644 2055 2731 2740 3000 3288 3425 4110 5462 5480 6850 8193 8220 10275 10924 13655 13700 16386 16440 17125 20550 21848 27310 27400 32772 34250 40965 41100 51375 54620 65544 68275 68500 81930 82200 102750 109240 136550 137000 163860 204825 205500 273100 327720 341375 374147 409650 411000 546200 682750 748294 819300 1024125 1122441 1365500 1496588 1638600 1870735 2048250 2244882 2731000 2993176 3741470 4096500 4489764 5612205 7482940 8193000 8979528 9353675 11224410 14965880 18707350 22448820 28061025 37414700 44897640 46768375 56122050 74829400 93536750 112244100 140305125 187073500 224488200 280610250 374147000 561220500 1122441000