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23223105551425 = 52131974014332089
BaseRepresentation
bin1010100011111000011001…
…11101001111110001000001
310001020002220011012002112011
411101330030331033301001
511020441410010121200
6121220314123532521
74614546130125463
oct521741475176101
9101202804162464
1023223105551425
11744395572775a
12273096308a141
13cc5c1102a510
145a400bb5c133
152a414625d5ba
hex151f0cf4fc41

23223105551425 has 96 divisors (see below), whose sum is σ = 31334082927840. Its totient is φ = 16972333056000.

The previous prime is 23223105551383. The next prime is 23223105551447. The reversal of 23223105551425 is 52415550132232.

It can be written as a sum of positive squares in 48 ways, for example, as 13254208640689 + 9968896910736 = 3640633^2 + 3157356^2 .

It is not a de Polignac number, because 23223105551425 - 211 = 23223105549377 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11116851781 + ... + 11116853869.

It is an arithmetic number, because the mean of its divisors is an integer number (326396697165).

Almost surely, 223223105551425 is an apocalyptic number.

23223105551425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

23223105551425 is a deficient number, since it is larger than the sum of its proper divisors (8110977376415).

23223105551425 is a wasteful number, since it uses less digits than its factorization.

23223105551425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

Adding to 23223105551425 its reverse (52415550132232), we get a palindrome (75638655683657).

The spelling of 23223105551425 in words is "twenty-three trillion, two hundred twenty-three billion, one hundred five million, five hundred fifty-one thousand, four hundred twenty-five".

Divisors: 1 5 13 25 65 197 325 401 433 985 2005 2089 2165 2561 4925 5213 5629 10025 10445 10825 12805 26065 27157 28145 52225 64025 78997 85301 130325 135785 140725 173633 394985 411533 426505 678925 837689 868165 904537 1026961 1108913 1974925 2057665 2132525 2257229 4188445 4340825 4522685 5134805 5349929 5544565 10288325 10889957 11286145 11758981 20942225 22613425 25674025 26749645 27722825 34205701 54449785 56430725 58794905 133748225 165024733 171028505 178193789 272248925 293974525 362719337 444674113 825123665 855142525 890968945 1813596685 2145321529 2223370565 2316519257 4125618325 4454844725 4715351381 9067983425 10726607645 11116852825 11582596285 23576756905 53633038225 57912981425 71455709389 117883784525 357278546945 928924222057 1786392734725 4644621110285 23223105551425