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22058784484 = 221124321572
BaseRepresentation
bin10100100010110011…
…100101011011100100
32002221022111100121221
4110202303211123210
5330134022100414
614044512150124
71410431401012
oct244263453344
962838440557
1022058784484
11939a677300
124337538344
1321070948c9
1410d38c38b2
15891891224
hex522ce56e4

22058784484 has 81 divisors (see below), whose sum is σ = 43719435081. Its totient is φ = 9731161440.

The previous prime is 22058784481. The next prime is 22058784487. The reversal of 22058784484 is 48448785022.

The square root of 22058784484 is 148522.

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

It is an interprime number because it is at equal distance from previous prime (22058784481) and next prime (22058784487).

It can be written as a sum of positive squares in only one way, i.e., 6465768100 + 15593016384 = 80410^2 + 124872^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22058784481) 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 26 ways as a sum of consecutive naturals, for example, 140501734 + ... + 140501890.

Almost surely, 222058784484 is an apocalyptic number.

22058784484 is the 148522-nd square number.

It is an amenable number.

22058784484 is a deficient number, since it is larger than the sum of its proper divisors (21660650597).

22058784484 is a wasteful number, since it uses less digits than its factorization.

22058784484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 52.

The spelling of 22058784484 in words is "twenty-two billion, fifty-eight million, seven hundred eighty-four thousand, four hundred eighty-four".

Divisors: 1 2 4 11 22 43 44 86 121 157 172 242 314 473 484 628 946 1727 1849 1892 3454 3698 5203 6751 6908 7396 10406 13502 18997 20339 20812 24649 27004 37994 40678 49298 74261 75988 81356 98596 148522 223729 271139 290293 297044 447458 542278 580586 816871 894916 1059907 1084556 1161172 1633742 2119814 2982529 3193223 3267484 4239628 5965058 6386446 11658977 11930116 12772892 23317954 35125453 45576001 46635908 70250906 91152002 128248747 140501812 182304004 256497494 501336011 512994988 1002672022 2005344044 5514696121 11029392242 22058784484