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23334256440 = 233451117192027
BaseRepresentation
bin10101101110110101…
…000111111100111000
32020020012112001020000
4111232311013330320
5340242032201230
614415234033000
71454146623105
oct255665077470
966205461200
1023334256440
119994641260
124632718760
13227b3c2441
1411b505baac
15918838b60
hex56ed47f38

23334256440 has 640 divisors, whose sum is σ = 95406854400. Its totient is φ = 5041336320.

The previous prime is 23334256403. The next prime is 23334256453. The reversal of 23334256440 is 4465243332.

23334256440 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 4 + 2 + 5 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 23334256395 and 23334256404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11510707 + ... + 11512733.

It is an arithmetic number, because the mean of its divisors is an integer number (149073210).

Almost surely, 223334256440 is an apocalyptic number.

23334256440 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 23334256440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47703427200).

23334256440 is an abundant number, since it is smaller than the sum of its proper divisors (72072597960).

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

23334256440 is a wasteful number, since it uses less digits than its factorization.

23334256440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 23334256440 its reverse (4465243332), we get a palindrome (27799499772).

It can be divided in two parts, 23334256 and 440, that added together give a triangular number (23334696 = T6831).

The spelling of 23334256440 in words is "twenty-three billion, three hundred thirty-four million, two hundred fifty-six thousand, four hundred forty".