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1422221472 = 253272313251
BaseRepresentation
bin101010011000101…
…0110000010100000
310200010011100002100
41110301112002200
510403042041342
6353043050400
750146453200
oct12461260240
93603140070
101422221472
1166a897051
12338370a00
1319885c089
14d6c58400
1584cd3e4c
hex54c560a0

1422221472 has 216 divisors, whose sum is σ = 4858019712. Its totient is φ = 393120000.

The previous prime is 1422221467. The next prime is 1422221569. The reversal of 1422221472 is 2741222241.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 435847 + ... + 439097.

It is an arithmetic number, because the mean of its divisors is an integer number (22490832).

Almost surely, 21422221472 is an apocalyptic number.

1422221472 is a gapful number since it is divisible by the number (12) 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 1422221472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429009856).

1422221472 is an abundant number, since it is smaller than the sum of its proper divisors (3435798240).

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

1422221472 is a wasteful number, since it uses less digits than its factorization.

1422221472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3312 (or 3294 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 1422221472 is about 37712.3517166458. The cubic root of 1422221472 is about 1124.5766893309.

The spelling of 1422221472 in words is "one billion, four hundred twenty-two million, two hundred twenty-one thousand, four hundred seventy-two".