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4222053504 = 27331221659
BaseRepresentation
bin1111101110100111…
…0110110010000000
3101220020112112121000
43323221312302000
532121321203004
61534541132000
7206424601614
oct37351666200
911806475530
104222053504
11187726a319
12999b5a000
1352392aa16
142c0a37344
1519a9d8c39
hexfba76c80

4222053504 has 64 divisors (see below), whose sum is σ = 12460932000. Its totient is φ = 1407350016.

The previous prime is 4222053503. The next prime is 4222053509. The reversal of 4222053504 is 4053502224.

It is a happy number.

4222053504 is a `hidden beast` number, since 422 + 205 + 35 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4222053503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607374 + ... + 614285.

Almost surely, 24222053504 is an apocalyptic number.

It is an amenable number.

4222053504 is an abundant number, since it is smaller than the sum of its proper divisors (8238878496).

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

4222053504 is a wasteful number, since it uses less digits than its factorization.

4222053504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221682 (or 1221664 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 4222053504 is about 64977.3306930963. The cubic root of 4222053504 is about 1616.2476665144.

Adding to 4222053504 its reverse (4053502224), we get a palindrome (8275555728).

The spelling of 4222053504 in words is "four billion, two hundred twenty-two million, fifty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 1221659 2443318 3664977 4886636 7329954 9773272 10994931 14659908 19546544 21989862 29319816 32984793 39093088 43979724 58639632 65969586 78186176 87959448 117279264 131939172 156372352 175918896 234558528 263878344 351837792 469117056 527756688 703675584 1055513376 1407351168 2111026752 4222053504