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221122231232 = 2674112038449
BaseRepresentation
bin1100110111101111101…
…0010111101111000000
3210010202101111012120212
43031323322113233000
512110324242344412
6245325424453252
721655420645040
oct3157372275700
9703671435525
10221122231232
118586080a151
1236a3147a228
1317b0c35c656
14a9b9451720
155b429b8222
hex337be97bc0

221122231232 has 56 divisors (see below), whose sum is σ = 513704738400. Its totient is φ = 92455280640.

The previous prime is 221122231217. The next prime is 221122231243. The reversal of 221122231232 is 232132221122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×2211222312322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221122231198 and 221122231207.

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 7 ways as a sum of consecutive naturals, for example, 6000857 + ... + 6037592.

It is an arithmetic number, because the mean of its divisors is an integer number (9173298900).

Almost surely, 2221122231232 is an apocalyptic number.

It is an amenable number.

221122231232 is an abundant number, since it is smaller than the sum of its proper divisors (292582507168).

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

221122231232 is a wasteful number, since it uses less digits than its factorization.

221122231232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038509 (or 12038499 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

Adding to 221122231232 its reverse (232132221122), we get a palindrome (453254452354).

The spelling of 221122231232 in words is "two hundred twenty-one billion, one hundred twenty-two million, two hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 4592 9184 18368 12038449 24076898 48153796 84269143 96307592 168538286 192615184 337076572 385230368 493576409 674153144 770460736 987152818 1348306288 1974305636 2696612576 3455034863 3948611272 5393225152 6910069726 7897222544 13820139452 15794445088 27640278904 31588890176 55280557808 110561115616 221122231232