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23534332000 = 255331533581
BaseRepresentation
bin10101111010110000…
…010110100001100000
32020202010222221021221
4111322300112201200
5341144242111000
614451142224424
71462126343554
oct257260264140
966663887257
1023534332000
119a87575a63
124689725114
1322b09a4c4a
1411d385d864
1592b1aa61a
hex57ac16860

23534332000 has 192 divisors, whose sum is σ = 60832332288. Its totient is φ = 8935680000.

The previous prime is 23534331941. The next prime is 23534332001. The reversal of 23534332000 is 23343532.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23534332001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6570210 + ... + 6573790.

It is an arithmetic number, because the mean of its divisors is an integer number (316835064).

Almost surely, 223534332000 is an apocalyptic number.

23534332000 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 23534332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30416166144).

23534332000 is an abundant number, since it is smaller than the sum of its proper divisors (37298000288).

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

23534332000 is a wasteful number, since it uses less digits than its factorization.

23534332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 25.

Adding to 23534332000 its reverse (23343532), we get a palindrome (23557675532).

The spelling of 23534332000 in words is "twenty-three billion, five hundred thirty-four million, three hundred thirty-two thousand".