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23223400432232 = 23711313157152657
BaseRepresentation
bin1010100011111000111101…
…00010001000001001101000
310001020010122201001120221112
411101330132202020021220
511020443011002312412
6121220403300125452
74614556340434340
oct521743642101150
9101203581046845
1023223400432232
117443a97125000
122730a25996888
13cc5c5a1551c0
145a4038d9bd20
152a41620aa722
hex151f1e888268

23223400432232 has 256 divisors, whose sum is σ = 59323533857280. Its totient is φ = 8298819809280.

The previous prime is 23223400432229. The next prime is 23223400432247.

23223400432232 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×232234004322324 (a number of 55 digits) contains 4444 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 152051648 + ... + 152204304.

It is an arithmetic number, because the mean of its divisors is an integer number (231732554130).

Almost surely, 223223400432232 is an apocalyptic number.

23223400432232 is a gapful number since it is divisible by the number (22) 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 23223400432232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29661766928640).

23223400432232 is an abundant number, since it is smaller than the sum of its proper divisors (36100133425048).

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

23223400432232 is a wasteful number, since it uses less digits than its factorization.

23223400432232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152873 (or 152847 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 23223400 and 432232, that added together give a palindrome (23655632).

The spelling of 23223400432232 in words is "twenty-three trillion, two hundred twenty-three billion, four hundred million, four hundred thirty-two thousand, two hundred thirty-two".