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22201054225504 = 2572112934393061
BaseRepresentation
bin1010000110001000101011…
…11100110110010001100000
32220121101210122022020122021
411003010111330312101200
510402220224340204004
6115115005024551224
74450654551161500
oct503042574662140
986541718266567
1022201054225504
11708a46136a270
1225a6868182514
13c507203abc3b
1456a772c13a00
15287778b2ad54
hex143115f36460

22201054225504 has 144 divisors (see below), whose sum is σ = 55655913344976. Its totient is φ = 8620238054400.

The previous prime is 22201054225487. The next prime is 22201054225541. The reversal of 22201054225504 is 40552245010222.

It is a self number, because there is not a number n which added to its sum of digits gives 22201054225504.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2857134 + ... + 7250194.

It is an arithmetic number, because the mean of its divisors is an integer number (386499398229).

Almost surely, 222201054225504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201054225504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27827956672488).

22201054225504 is an abundant number, since it is smaller than the sum of its proper divisors (33454859119472).

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

22201054225504 is a wasteful number, since it uses less digits than its factorization.

22201054225504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393389 (or 4393374 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 34.

Adding to 22201054225504 its reverse (40552245010222), we get a palindrome (62753299235726).

The spelling of 22201054225504 in words is "twenty-two trillion, two hundred one billion, fifty-four million, two hundred twenty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 293 308 352 392 539 586 616 784 1078 1172 1232 1568 2051 2156 2344 2464 3223 4102 4312 4688 6446 8204 8624 9376 12892 14357 16408 17248 22561 25784 28714 32816 45122 51568 57428 65632 90244 103136 114856 157927 180488 229712 315854 360976 459424 631708 721952 1263416 2526832 4393061 5053664 8786122 17572244 30751427 35144488 48323671 61502854 70288976 96647342 123005708 140577952 193294684 215259989 246011416 338265697 386589368 430519978 492022832 676531394 773178736 861039956 984045664 1287166873 1353062788 1546357472 1722079912 2367859879 2574333746 2706125576 3444159824 4735719758 5148667492 5412251152 6888319648 9010168111 9471439516 10297334984 10824502304 14158835603 18020336222 18942879032 20594669968 28317671206 36040672444 37885758064 41189339936 56635342412 63071176777 72081344888 75771516128 99111849221 113270684824 126142353554 144162689776 198223698442 226541369648 252284707108 288325379552 396447396884 453082739296 504569414216 693782944547 792894793768 1009138828432 1387565889094 1585789587536 2018277656864 2775131778188 3171579175072 5550263556376 11100527112752 22201054225504