Search a number
-
+
22017217924 = 221344392
BaseRepresentation
bin10100100000010101…
…000001010110000100
32002211102021120000201
4110200111001112010
5330042401433144
614040425220244
71406415156502
oct244025012604
962742246021
1022017217924
119379166779
124325631684
1320cb5a0000
1410cc183672
1588cdd01d4
hex520541584

22017217924 has 45 divisors (see below), whose sum is σ = 41836161507. Its totient is φ = 10138645296.

The previous prime is 22017217909. The next prime is 22017217927. The reversal of 22017217924 is 42971271022.

The square root of 22017217924 is 148382.

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

It can be written as a sum of positive squares in 2 ways, for example, as 10916488324 + 11100729600 = 104482^2 + 105360^2 .

It is a super-2 number, since 2×220172179242 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22017217927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 50152897 + ... + 50153335.

Almost surely, 222017217924 is an apocalyptic number.

22017217924 is the 148382-nd square number.

It is an amenable number.

22017217924 is a deficient number, since it is larger than the sum of its proper divisors (19818943583).

22017217924 is an frugal number, since it uses more digits than its factorization.

22017217924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

Multiplying 22017217924 by its product of nonzero digits (28224), we get a square (621413958686976 = 249281762).

Adding to 22017217924 its reverse (42971271022), we get a palindrome (64988488946).

The spelling of 22017217924 in words is "twenty-two billion, seventeen million, two hundred seventeen thousand, nine hundred twenty-four".

Divisors: 1 2 4 13 26 52 169 338 439 676 878 1756 2197 4394 5707 8788 11414 22828 28561 57122 74191 114244 148382 192721 296764 385442 770884 964483 1928966 2505373 3857932 5010746 10021492 12538279 25076558 32569849 50153116 65139698 130279396 423408037 846816074 1693632148 5504304481 11008608962 22017217924