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1422004320 = 2532511107839
BaseRepresentation
bin101010011000010…
…0001000001100000
310200002202022012200
41110300201001200
510403013114240
6353034253200
750144560122
oct12460410140
93602668180
101422004320
1166a758990
12338287200
131987b4299
14d6bdd212
1584c8e930
hex54c21060

1422004320 has 288 divisors, whose sum is σ = 5349576960. Its totient is φ = 341099520.

The previous prime is 1422004307. The next prime is 1422004349. The reversal of 1422004320 is 234002241.

1422004320 is a `hidden beast` number, since 14 + 220 + 0 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1422004293 and 1422004302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1694461 + ... + 1695299.

It is an arithmetic number, because the mean of its divisors is an integer number (18574920).

Almost surely, 21422004320 is an apocalyptic number.

1422004320 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 1422004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2674788480).

1422004320 is an abundant number, since it is smaller than the sum of its proper divisors (3927572640).

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

1422004320 is a wasteful number, since it uses less digits than its factorization.

1422004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1422004320 is about 37709.4725500106. The cubic root of 1422004320 is about 1124.5194510568.

Adding to 1422004320 its reverse (234002241), we get a palindrome (1656006561).

The spelling of 1422004320 in words is "one billion, four hundred twenty-two million, four thousand, three hundred twenty".