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22402240404401 = 1121323156576247
BaseRepresentation
bin1010001011111111011011…
…00101001101101110110001
32221022122002122121001200102
411011333231211031232301
510414014242020420101
6115351240331002145
74501336254401144
oct505775545155661
987278078531612
1022402240404401
117157811757200
122619854b99355
13c666a3393700
145763ba66805b
1528cb012aa86b
hex145fed94dbb1

22402240404401 has 72 divisors (see below), whose sum is σ = 27533198956032. Its totient is φ = 18186533164800.

The previous prime is 22402240404367. The next prime is 22402240404421. The reversal of 22402240404401 is 10440404220422.

It is a happy number.

It is not a de Polignac number, because 22402240404401 - 230 = 22401166662577 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22402240404421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3586076660 + ... + 3586082906.

It is an arithmetic number, because the mean of its divisors is an integer number (382405541056).

Almost surely, 222402240404401 is an apocalyptic number.

It is an amenable number.

22402240404401 is a deficient number, since it is larger than the sum of its proper divisors (5130958551631).

22402240404401 is a wasteful number, since it uses less digits than its factorization.

22402240404401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11983 (or 11959 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 22402240404401 its reverse (10440404220422), we get a palindrome (32842644624823).

The spelling of 22402240404401 in words is "twenty-two trillion, four hundred two billion, two hundred forty million, four hundred four thousand, four hundred one".

Divisors: 1 11 13 31 121 143 169 341 403 1573 1859 3751 4433 5239 5657 6247 20449 48763 57629 62227 68717 73541 81211 175367 193657 633919 684497 755887 808951 893321 956033 1055743 1929037 2130227 2279771 2517541 8898461 9826531 10516363 11613173 21219407 23432497 25077481 27692951 29637023 32728033 35339279 115679993 127744903 275852291 304622461 326007253 360008363 388732069 459410627 1095517649 3586079783 3960091993 4276052759 5053516897 5972338151 12050694139 14241729437 55588685867 65695719661 132557635529 156659023807 185142482681 722652916271 1723249261877 2036567309491 22402240404401