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20330005200 = 24352372631741
BaseRepresentation
bin10010111011110000…
…110100001011010000
31221110211111021021120
4102323300310023100
5313113440131300
613201154322240
71316540123121
oct227360641320
957424437246
1020330005200
11869283789a
123b34589380
131bbcb7cb9b
14dac06a048
157dec053a0
hex4bbc342d0

20330005200 has 240 divisors, whose sum is σ = 67176759936. Its totient is φ = 5251737600.

The previous prime is 20330005193. The next prime is 20330005207. The reversal of 20330005200 is 250003302.

It is an interprime number because it is at equal distance from previous prime (20330005193) and next prime (20330005207).

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

It is a super-2 number, since 2×203300052002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20330005200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20330005207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11676330 + ... + 11678070.

Almost surely, 220330005200 is an apocalyptic number.

20330005200 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 20330005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33588379968).

20330005200 is an abundant number, since it is smaller than the sum of its proper divisors (46846754736).

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

20330005200 is a wasteful number, since it uses less digits than its factorization.

20330005200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

Adding to 20330005200 its reverse (250003302), we get a palindrome (20580008502).

The spelling of 20330005200 in words is "twenty billion, three hundred thirty million, five thousand, two hundred".