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23032303440 = 24352971127367
BaseRepresentation
bin10101011100110101…
…010000111101010000
32012110011100020120120
4111130311100331100
5334132232202230
614325250110240
71443522230466
oct253465207520
965404306516
1023032303440
11984a153523
12456957b380
13223098c723
141186cda836
158ec091310
hex55cd50f50

23032303440 has 320 divisors, whose sum is σ = 75698012160. Its totient is φ = 5784791040.

The previous prime is 23032303421. The next prime is 23032303447. The reversal of 23032303440 is 4430323032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23032303440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23032303447) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 62758137 + ... + 62758503.

It is an arithmetic number, because the mean of its divisors is an integer number (236556288).

Almost surely, 223032303440 is an apocalyptic number.

23032303440 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 23032303440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37849006080).

23032303440 is an abundant number, since it is smaller than the sum of its proper divisors (52665708720).

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

23032303440 is a wasteful number, since it uses less digits than its factorization.

23032303440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

Adding to 23032303440 its reverse (4430323032), we get a palindrome (27462626472).

The spelling of 23032303440 in words is "twenty-three billion, thirty-two million, three hundred three thousand, four hundred forty".