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1222268544 = 27327259367
BaseRepresentation
bin100100011011010…
…0101011010000000
310011011220200020100
41020312211122000
510000400043134
6321141242400
742201053100
oct11066453200
93134820210
101222268544
11577a364a2
122a1403400
131662c0333
14b8489200
1572488999
hex48da5680

1222268544 has 288 divisors, whose sum is σ = 4172126400. Its totient is φ = 342365184.

The previous prime is 1222268521. The next prime is 1222268587. The reversal of 1222268544 is 4458622221.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1222268499 and 1222268508.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3330249 + ... + 3330615.

It is an arithmetic number, because the mean of its divisors is an integer number (14486550).

Almost surely, 21222268544 is an apocalyptic number.

1222268544 is a gapful number since it is divisible by the number (14) 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 1222268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086063200).

1222268544 is an abundant number, since it is smaller than the sum of its proper divisors (2949857856).

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

1222268544 is a wasteful number, since it uses less digits than its factorization.

1222268544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 438 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 1222268544 is about 34960.9574239608. The cubic root of 1222268544 is about 1069.1916169818.

The spelling of 1222268544 in words is "one billion, two hundred twenty-two million, two hundred sixty-eight thousand, five hundred forty-four".