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1122214200 = 2335217269409
BaseRepresentation
bin100001011100011…
…1010000100111000
32220012122101110220
41002320322010320
54244241323300
6303204540040
736544443342
oct10270720470
92805571426
101122214200
11526508158
122739b1620
1314b65ab93
14a9082292
15687c2da0
hex42e3a138

1122214200 has 192 divisors, whose sum is σ = 3706236000. Its totient is φ = 279920640.

The previous prime is 1122214169. The next prime is 1122214201. The reversal of 1122214200 is 24122211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1122214200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122214201) 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 47 ways as a sum of consecutive naturals, for example, 2743596 + ... + 2744004.

Almost surely, 21122214200 is an apocalyptic number.

1122214200 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 1122214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853118000).

1122214200 is an abundant number, since it is smaller than the sum of its proper divisors (2584021800).

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

1122214200 is a wasteful number, since it uses less digits than its factorization.

1122214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 705 counting only the distinct ones).

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

The square root of 1122214200 is about 33499.4656673804. The cubic root of 1122214200 is about 1039.1827282404.

Adding to 1122214200 its reverse (24122211), we get a palindrome (1146336411).

The spelling of 1122214200 in words is "one billion, one hundred twenty-two million, two hundred fourteen thousand, two hundred".