Search a number
-
+
22528996446784 = 26312191392
BaseRepresentation
bin1010001111101011100001…
…10101001001001001000000
32221202202021111110012000211
411013311300311021021000
510423103341042244114
6115525402244523504
74513444351105132
oct507656065111100
987682244405024
1022528996446784
1171a6548189a23
12263a32b3b0594
13c75624178699
1457c5a2d85052
1529106e43b6c4
hex147d70d49240

22528996446784 has 63 divisors (see below), whose sum is σ = 46197039657171. Its totient is φ = 10900557736320.

The previous prime is 22528996446763. The next prime is 22528996446787. The reversal of 22528996446784 is 48764469982522.

It is a happy number.

The square root of 22528996446784 is 4746472.

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

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 22528996446784.

It is not an unprimeable number, because it can be changed into a prime (22528996446787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1177115487 + ... + 1177134625.

Almost surely, 222528996446784 is an apocalyptic number.

22528996446784 is the 4746472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22528996446784

22528996446784 is an abundant number, since it is smaller than the sum of its proper divisors (23668043210387).

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

22528996446784 is an frugal number, since it uses more digits than its factorization.

22528996446784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38352 (or 19172 counting only the distinct ones).

The product of its digits is 3344302080, while the sum is 76.

The spelling of 22528996446784 in words is "twenty-two trillion, five hundred twenty-eight billion, nine hundred ninety-six million, four hundred forty-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1922 1984 3844 7688 15376 19139 30752 38278 61504 76556 153112 306224 593309 612448 1186618 1224896 2373236 4746472 9492944 18392579 18985888 36785158 37971776 73570316 147140632 294281264 366301321 588562528 732602642 1177125056 1465205284 2930410568 5860821136 11355340951 11721642272 22710681902 23443284544 45421363804 90842727608 181685455216 352015569481 363370910432 704031138962 726741820864 1408062277924 2816124555848 5632249111696 11264498223392 22528996446784