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23352222225332 = 22711138370267751
BaseRepresentation
bin1010100111101000111001…
…11010010001001110110100
310001200110011111222201112202
411103310130322101032310
511030100322342202312
6121355510210204032
74630066556551220
oct523643472211664
9101613144881482
1023352222225332
117493692722920
122751997b83618
131005149bc5b90
145aa379bab780
152a76a178a9c2
hex153d1ce913b4

23352222225332 has 96 divisors (see below), whose sum is σ = 55530636908544. Its totient is φ = 8297215920000.

The previous prime is 23352222225329. The next prime is 23352222225341.

23352222225332 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×233522222253322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 34801544 + ... + 35466207.

It is an arithmetic number, because the mean of its divisors is an integer number (578444134464).

Almost surely, 223352222225332 is an apocalyptic number.

23352222225332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23352222225332 is an abundant number, since it is smaller than the sum of its proper divisors (32178414683212).

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

23352222225332 is a wasteful number, since it uses less digits than its factorization.

23352222225332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70267869 (or 70267867 counting only the distinct ones).

The product of its digits is 518400, while the sum is 38.

The spelling of 23352222225332 in words is "twenty-three trillion, three hundred fifty-two billion, two hundred twenty-two million, two hundred twenty-five thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 83 91 143 154 166 182 286 308 332 364 572 581 913 1001 1079 1162 1826 2002 2158 2324 3652 4004 4316 6391 7553 11869 12782 15106 23738 25564 30212 47476 83083 166166 332332 70267751 140535502 281071004 491874257 772945261 913480763 983748514 1545890522 1826961526 1967497028 3091781044 3653923052 5410616827 5832223333 6394365341 10048288393 10821233654 11664446666 12788730682 20096576786 21642467308 23328893332 25577461364 40193153572 40825563331 64154456663 70338018751 75818903329 81651126662 128308913326 140676037502 151637806658 163302253324 256617826652 281352075004 303275613316 449081196641 530732323303 834007936619 898162393282 1061464646606 1668015873238 1796324786564 2122929293212 3336031746476 5838055556333 11676111112666 23352222225332