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22401022401 = 32191011319901
BaseRepresentation
bin10100110111001101…
…000111100111000001
32010211011110211210100
4110313031013213001
5331334130204101
614142455353013
71422055356132
oct246715074701
963734424710
1022401022401
11955587a75a
124412082769
13215cc60a54
14112712dc89
158b1944e86
hex5373479c1

22401022401 has 48 divisors (see below), whose sum is σ = 34663337280. Its totient is φ = 13899600000.

The previous prime is 22401022393. The next prime is 22401022447. The reversal of 22401022401 is 10422010422.

22401022401 is a `hidden beast` number, since 2 + 240 + 1 + 0 + 22 + 401 = 666.

It is not a de Polignac number, because 22401022401 - 23 = 22401022393 is a prime.

It is a super-2 number, since 2×224010224012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22401022801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2257551 + ... + 2267451.

It is an arithmetic number, because the mean of its divisors is an integer number (722152860).

Almost surely, 222401022401 is an apocalyptic number.

It is an amenable number.

22401022401 is a deficient number, since it is larger than the sum of its proper divisors (12262314879).

22401022401 is a wasteful number, since it uses less digits than its factorization.

22401022401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10158 (or 10155 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22401022401 its reverse (10422010422), we get a palindrome (32823032823).

The spelling of 22401022401 in words is "twenty-two billion, four hundred one million, twenty-two thousand, four hundred one".

Divisors: 1 3 9 19 57 101 131 171 303 393 909 1179 1919 2489 5757 7467 9901 13231 17271 22401 29703 39693 89109 119079 188119 251389 564357 754167 1000001 1297031 1693071 2262501 3000003 3891093 9000009 11673279 19000019 24643589 57000057 73930767 131000131 171000171 221792301 393000393 1179001179 2489002489 7467007467 22401022401