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22480314478281 = 321121436772
BaseRepresentation
bin1010001110010000110110…
…01010001010111011001001
32221121002121202201221201100
411013020123022022323021
510421304141001301111
6115451151445212013
74510102102152612
oct507103312127311
987532552657640
1022480314478281
11718793650a500
122630a03a01009
13c70b664b806a
1457a0a570ac09
1528eb70649756
hex14721b28aec9

22480314478281 has 27 divisors (see below), whose sum is σ = 35692134308103. Its totient is φ = 13624338190320.

The previous prime is 22480314478243. The next prime is 22480314478301. The reversal of 22480314478281 is 18287441308422.

The square root of 22480314478281 is 4741341.

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

22480314478281 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 0 + 314 + 47 + 8 + 281 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22457789271225 + 22525207056 = 4738965^2 + 150084^2 .

It is not a de Polignac number, because 22480314478281 - 211 = 22480314476233 is a prime.

It is a super-2 number, since 2×224803144782812 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22480314478231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156392415 + ... + 156536091.

Almost surely, 222480314478281 is an apocalyptic number.

22480314478281 is the 4741341-st square number.

22480314478281 is the 2370671-st centered octagonal number.

It is an amenable number.

22480314478281 is a deficient number, since it is larger than the sum of its proper divisors (13211819829822).

22480314478281 is an frugal number, since it uses more digits than its factorization.

22480314478281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287382 (or 143691 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 22480314478281 in words is "twenty-two trillion, four hundred eighty billion, three hundred fourteen million, four hundred seventy-eight thousand, two hundred eighty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 143677 431031 1293093 1580447 4741341 14224023 17384917 52154751 156464253 20643080329 61929240987 185787722961 227073883619 681221650857 2043664952571 2497812719809 7493438159427 22480314478281