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223529899441 = 617397517501
BaseRepresentation
bin1101000000101101101…
…0111001010110110001
3210100222011221102110111
43100023122321112301
512130242123240231
6250404353301321
722102164536632
oct3201332712661
9710864842414
10223529899441
1186886889992
12373a3864841
13181041016b4
14ab67109889
155c340564b1
hex340b6b95b1

223529899441 has 16 divisors (see below), whose sum is σ = 232681319248. Its totient is φ = 214617600000.

The previous prime is 223529899409. The next prime is 223529899459. The reversal of 223529899441 is 144998925322.

It is a happy number.

223529899441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is the 193016-th star number.

It can be written as a sum of positive squares in 8 ways, for example, as 4322405025 + 219207494416 = 65745^2 + 468196^2 .

It is a 6-Lehmer number, since φ(223529899441) divides (223529899441-1)6.

It is a cyclic number.

It is not a de Polignac number, because 223529899441 - 25 = 223529899409 is a prime.

It is a super-2 number, since 2×2235298994412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223529896441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 173191 + ... + 690691.

It is an arithmetic number, because the mean of its divisors is an integer number (14542582453).

Almost surely, 2223529899441 is an apocalyptic number.

It is an amenable number.

223529899441 is a deficient number, since it is larger than the sum of its proper divisors (9151419807).

223529899441 is an equidigital number, since it uses as much as digits as its factorization.

223529899441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517732.

The product of its digits is 11197440, while the sum is 58.

The spelling of 223529899441 in words is "two hundred twenty-three billion, five hundred twenty-nine million, eight hundred ninety-nine thousand, four hundred forty-one".

Divisors: 1 61 73 97 4453 5917 7081 431941 517501 31567561 37777573 50197597 2304431953 3062053417 3664424581 223529899441