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223135503125460 = 223531787279754499
BaseRepresentation
bin110010101111000011001000…
…011001101000101111010100
31002021001112201212101211020120
4302233003020121220233110
5213221323002300003320
62110323011321231540
765000002531220442
oct6257031031505724
91067045655354216
10223135503125460
1165109265424862
12210391a46325b0
139767784113793
143d15b5d071b92
151abe3ee6b8440
hexcaf0c8668bd4

223135503125460 has 192 divisors, whose sum is σ = 645995793408000. Its totient is φ = 57488571210240.

The previous prime is 223135503125441. The next prime is 223135503125501. The reversal of 223135503125460 is 64521305531322.

It is a super-3 number, since 3×2231355031254603 (a number of 44 digits) contains 333 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 63 ways as a sum of consecutive naturals, for example, 4094277291 + ... + 4094331789.

It is an arithmetic number, because the mean of its divisors is an integer number (3364561424000).

Almost surely, 2223135503125460 is an apocalyptic number.

223135503125460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223135503125460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322997896704000).

223135503125460 is an abundant number, since it is smaller than the sum of its proper divisors (422860290282540).

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

223135503125460 is a wasteful number, since it uses less digits than its factorization.

223135503125460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58126 (or 58124 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 223135503125460 its reverse (64521305531322), we get a palindrome (287656808656782).

The spelling of 223135503125460 in words is "two hundred twenty-three trillion, one hundred thirty-five billion, five hundred three million, one hundred twenty-five thousand, four hundred sixty".