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11222401000 = 235312838747
BaseRepresentation
bin10100111001110100…
…00011111111101000
31001222002221001001111
422130322003333220
5140440413313000
65053331000104
7545046556156
oct123472037750
931862831044
1011222401000
114839830a78
122212439034
13109b025b85
147866443d6
1545a370cba
hex29ce83fe8

11222401000 has 64 divisors (see below), whose sum is σ = 26283890880. Its totient is φ = 4484948800.

The previous prime is 11222400997. The next prime is 11222401009. The reversal of 11222401000 is 10422211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11222401009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1278627 + ... + 1287373.

It is an arithmetic number, because the mean of its divisors is an integer number (410685795).

Almost surely, 211222401000 is an apocalyptic number.

11222401000 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 11222401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13141945440).

11222401000 is an abundant number, since it is smaller than the sum of its proper divisors (15061489880).

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

11222401000 is a wasteful number, since it uses less digits than its factorization.

11222401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11222401000 its reverse (10422211), we get a palindrome (11232823211).

The spelling of 11222401000 in words is "eleven billion, two hundred twenty-two million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1283 2566 5132 6415 8747 10264 12830 17494 25660 32075 34988 43735 51320 64150 69976 87470 128300 160375 174940 218675 256600 320750 349880 437350 641500 874700 1093375 1283000 1749400 2186750 4373500 8747000 11222401 22444802 44889604 56112005 89779208 112224010 224448020 280560025 448896040 561120050 1122240100 1402800125 2244480200 2805600250 5611200500 11222401000