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20323513200 = 24352293118839
BaseRepresentation
bin10010111011011000…
…000011001101110000
31221110101021102221010
4102323120003031300
5313110304410300
613200403230520
71316431004034
oct227330031560
957411242833
1020323513200
11868a103301
123b32378440
131bbb718c73
14dab25a1c4
157de371a50
hex4bb603370

20323513200 has 240 divisors, whose sum is σ = 69524121600. Its totient is φ = 5063654400.

The previous prime is 20323513183. The next prime is 20323513271. The reversal of 20323513200 is 231532302.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1069381 + ... + 1088219.

It is an arithmetic number, because the mean of its divisors is an integer number (289683840).

Almost surely, 220323513200 is an apocalyptic number.

20323513200 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 20323513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34762060800).

20323513200 is an abundant number, since it is smaller than the sum of its proper divisors (49200608400).

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

20323513200 is a wasteful number, since it uses less digits than its factorization.

20323513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18920 (or 18909 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The spelling of 20323513200 in words is "twenty billion, three hundred twenty-three million, five hundred thirteen thousand, two hundred".