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22254442005425 = 527241291111863
BaseRepresentation
bin1010000111101100001000…
…00111000100001110110001
32220210111121022211110122112
411003312010013010032301
510404104044123133200
6115155314410215105
74454554550624600
oct503660407041661
986714538743575
1022254442005425
117100068381533
1225b5087724495
13c5577ac86566
1456d19944da37
15288d50b12535
hex143d841c43b1

22254442005425 has 108 divisors (see below), whose sum is σ = 32941836194688. Its totient is φ = 14870392992000.

The previous prime is 22254442005359. The next prime is 22254442005469. The reversal of 22254442005425 is 52450024445222.

It is not a de Polignac number, because 22254442005425 - 220 = 22254440956849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian 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 107 ways as a sum of consecutive naturals, for example, 1875948044 + ... + 1875959906.

Almost surely, 222254442005425 is an apocalyptic number.

22254442005425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22254442005425 is a deficient number, since it is larger than the sum of its proper divisors (10687394189263).

22254442005425 is a wasteful number, since it uses less digits than its factorization.

22254442005425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12880 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 1024000, while the sum is 41.

The spelling of 22254442005425 in words is "twenty-two trillion, two hundred fifty-four billion, four hundred forty-two million, five thousand, four hundred twenty-five".

Divisors: 1 5 7 25 35 41 49 175 205 245 287 911 1025 1225 1435 1681 2009 4555 6377 7175 8405 10045 11767 11863 22775 31885 37351 42025 44639 50225 58835 59315 82369 83041 159425 186755 223195 261457 294175 296575 411845 415205 486383 581287 933775 1115975 1307285 1531391 1830199 2059225 2076025 2431915 2906435 3404681 6536425 7656955 9150995 10719737 10807193 12159575 14532175 17023405 19941703 23832767 38284775 45754975 53598685 54035965 75038159 75650351 85117025 99708515 119163835 139591921 267993425 270179825 375190795 378251755 443094913 498542575 529552457 595819175 697959605 977143447 1875953975 1891258775 2215474565 2647762285 3101664391 3489798025 4885717235 11077372825 13238811425 15508321955 18166891433 21711650737 24428586175 77541609775 90834457165 108558253685 127168240031 454172285825 542791268425 635841200155 890177680217 3179206000775 4450888401085 22254442005425