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23320140032 = 28731814091
BaseRepresentation
bin10101101101111111…
…010001100100000000
32020012012221212011002
4111231333101210000
5340224423440112
614414011311132
71453615630310
oct255577214400
966165855132
1023320140032
11998767a402
124629a4b4a8
1322784bc037
1411b3225440
1591749b1c2
hex56dfd1900

23320140032 has 72 divisors (see below), whose sum is σ = 53228801472. Its totient is φ = 9988761600.

The previous prime is 23320140017. The next prime is 23320140083. The reversal of 23320140032 is 23004102332.

It is a super-2 number, since 2×233201400322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23320139986 and 23320140013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5698307 + ... + 5702397.

Almost surely, 223320140032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23320140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26614400736).

23320140032 is an abundant number, since it is smaller than the sum of its proper divisors (29908661440).

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

23320140032 is an equidigital number, since it uses as much as digits as its factorization.

23320140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7295 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 23320140032 its reverse (23004102332), we get a palindrome (46324242364).

The spelling of 23320140032 in words is "twenty-three billion, three hundred twenty million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 3181 4091 6362 8182 12724 16364 22267 25448 28637 32728 44534 50896 57274 65456 89068 101792 114548 130912 178136 203584 229096 261824 356272 407168 458192 523648 712544 814336 916384 1047296 1425088 1832768 2850176 3665536 5700352 7331072 13013471 26026942 52053884 91094297 104107768 182188594 208215536 364377188 416431072 728754376 832862144 1457508752 1665724288 2915017504 3331448576 5830035008 11660070016 23320140032