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22298332296321 = 361748932
BaseRepresentation
bin1010001000111101111000…
…01011001111010010000001
32220221200220010011021000000
411010132330023033102001
510410313441031440241
6115231413515350213
74461000314141424
oct504367413172201
986850803137000
1022298332296321
1171177402a0714
122601696452369
13c59953cc76a3
145713605739bb
1528a06ddeceb6
hex1447bc2cf481

22298332296321 has 21 divisors (see below), whose sum is σ = 33432395822899. Its totient is φ = 14865469866216.

The previous prime is 22298332296197. The next prime is 22298332296337. The reversal of 22298332296321 is 12369223389222.

The square root of 22298332296321 is 4722111.

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

22298332296321 is a `hidden beast` number, since 2 + 2 + 2 + 98 + 3 + 3 + 229 + 6 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22212227610225 + 86104686096 = 4712985^2 + 293436^2 .

It is not a de Polignac number, because 22298332296321 - 225 = 22298298741889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22298332297321) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 127409551 + ... + 127584443.

Almost surely, 222298332296321 is an apocalyptic number.

22298332296321 is the 4722111-st square number.

22298332296321 is the 2361056-th centered octagonal number.

It is an amenable number.

22298332296321 is a deficient number, since it is larger than the sum of its proper divisors (11134063526578).

22298332296321 is an frugal number, since it uses more digits than its factorization.

22298332296321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349804 (or 174896 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 22298332296321 in words is "twenty-two trillion, two hundred ninety-eight billion, three hundred thirty-two million, two hundred ninety-six thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 243 729 174893 524679 1574037 4722111 14166333 42498999 127496997 30587561449 91762684347 275288053041 825864159123 2477592477369 7432777432107 22298332296321