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1422884400 = 243527233727
BaseRepresentation
bin101010011001111…
…0111111000110000
310200011102000110020
41110303313320300
510403224300100
6353105203440
750155214010
oct12463677060
93604360406
101422884400
116701aa123
12338630580
13198a31a42
14d6d8bc40
1584db55a0
hex54cf7e30

1422884400 has 240 divisors, whose sum is σ = 5238664704. Its totient is φ = 323389440.

The previous prime is 1422884399. The next prime is 1422884417. The reversal of 1422884400 is 44882241.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1956837 + ... + 1957563.

Almost surely, 21422884400 is an apocalyptic number.

1422884400 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 1422884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619332352).

1422884400 is an abundant number, since it is smaller than the sum of its proper divisors (3815780304).

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

1422884400 is a wasteful number, since it uses less digits than its factorization.

1422884400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 1422884400 is about 37721.1399615653. The cubic root of 1422884400 is about 1124.7513919790.

The spelling of 1422884400 in words is "one billion, four hundred twenty-two million, eight hundred eighty-four thousand, four hundred".