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1144422400 = 2155211127
BaseRepresentation
bin100010000110110…
…1000000000000000
32221202102200101211
41010031220000000
54320433004100
6305320535504
740234300312
oct10415500000
92852380354
101144422400
11537aa6540
1227b321594
13153135424
14abdc37b2
156a70d1ba
hex44368000

1144422400 has 192 divisors, whose sum is σ = 3120514560. Its totient is φ = 412876800.

The previous prime is 1144422379. The next prime is 1144422401. The reversal of 1144422400 is 42244411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1144422401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9011137 + ... + 9011263.

It is an arithmetic number, because the mean of its divisors is an integer number (16252680).

Almost surely, 21144422400 is an apocalyptic number.

1144422400 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 1144422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560257280).

1144422400 is an abundant number, since it is smaller than the sum of its proper divisors (1976092160).

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

1144422400 is an equidigital number, since it uses as much as digits as its factorization.

1144422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1144422400 is about 33829.3127331904. The cubic root of 1144422400 is about 1045.9930122725.

Adding to 1144422400 its reverse (42244411), we get a palindrome (1186666811).

The spelling of 1144422400 in words is "one billion, one hundred forty-four million, four hundred twenty-two thousand, four hundred".