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422041224609 = 36240612
BaseRepresentation
bin1100010010000111001…
…11100000010110100001
31111100100210000121000000
412021003213200112201
523403320023141414
6521514424050213
742330401135034
oct6110347402641
91440323017000
10422041224609
11152a942a5704
1269964903969
1330a4bb95394
14165d95d501b
15aea196bb09
hex62439e05a1

422041224609 has 21 divisors (see below), whose sum is σ = 632798670819. Its totient is φ = 281349122760.

The previous prime is 422041224599. The next prime is 422041224667. The reversal of 422041224609 is 906422140224.

The square root of 422041224609 is 649647.

It is a perfect power (a square), and thus also a powerful number.

422041224609 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 41 + 2 + 2 + 4 + 609 = 666.

It can be written as a sum of positive squares in only one way, i.e., 419519176209 + 2522048400 = 647703^2 + 50220^2 .

It is not a de Polignac number, because 422041224609 - 213 = 422041216417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (422041226609) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 17528439 + ... + 17552499.

It is an arithmetic number, because the mean of its divisors is an integer number (30133270039).

Almost surely, 2422041224609 is an apocalyptic number.

422041224609 is the 649647-th square number.

422041224609 is the 324824-th centered octagonal number.

It is an amenable number.

422041224609 is a deficient number, since it is larger than the sum of its proper divisors (210757446210).

422041224609 is an frugal number, since it uses more digits than its factorization.

422041224609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48140 (or 24064 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 422041224609 by its sum of digits (36), we get a square (15193484085924 = 38978822).

The spelling of 422041224609 in words is "four hundred twenty-two billion, forty-one million, two hundred twenty-four thousand, six hundred nine".

Divisors: 1 3 9 27 81 243 729 24061 72183 216549 649647 1948941 5846823 17540469 578931721 1736795163 5210385489 15631156467 46893469401 140680408203 422041224609