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23202195840 = 273255376003
BaseRepresentation
bin10101100110111101…
…010110100110000000
32012220000000200010200
4111212331112212000
5340004230231330
614354155325200
71450654260555
oct254675264600
965800020120
1023202195840
11992704216a
1245b6450800
132259c34a85
1411a16c2a2c
1590be4ea60
hex566f56980

23202195840 has 192 divisors, whose sum is σ = 81632856240. Its totient is φ = 6070431744.

The previous prime is 23202195823. The next prime is 23202195853. The reversal of 23202195840 is 4859120232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 23202195795 and 23202195804.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 267279 + ... + 343281.

Almost surely, 223202195840 is an apocalyptic number.

23202195840 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 23202195840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40816428120).

23202195840 is an abundant number, since it is smaller than the sum of its proper divisors (58430660400).

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

23202195840 is a wasteful number, since it uses less digits than its factorization.

23202195840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76081 (or 76066 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 23202195840 in words is "twenty-three billion, two hundred two million, one hundred ninety-five thousand, eight hundred forty".