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22483074023424 = 2183676
BaseRepresentation
bin1010001110010101111111…
…01001000000000000000000
32221121100202002022101000000
411013022333221000000000
510421330313422222144
6115452325344000000
74510230351000000
oct507127751000000
987540662271000
1022483074023424
117189022176623
122631454000000
13c711b611c701
1457a288000000
1528ec82a42769
hex1472bfa40000

22483074023424 has 931 divisors, whose sum is σ = 78654532409587. Its totient is φ = 6423735435264.

The previous prime is 22483074023383. The next prime is 22483074023437. The reversal of 22483074023424 is 42432047038422.

The square root of 22483074023424 is 4741632.

The cubic root of 22483074023424 is 28224.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

22483074023424 is a `hidden beast` number, since 2 + 248 + 307 + 40 + 23 + 42 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22483074023424.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 3211867717629 + ... + 3211867717635.

Almost surely, 222483074023424 is an apocalyptic number.

22483074023424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22483074023424 is the 4741632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22483074023424

22483074023424 is an abundant number, since it is smaller than the sum of its proper divisors (56171458386163).

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

22483074023424 is an frugal number, since it uses more digits than its factorization.

22483074023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 45.

The spelling of 22483074023424 in words is "twenty-two trillion, four hundred eighty-three billion, seventy-four million, twenty-three thousand, four hundred twenty-four".