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200008772400 = 243524319012039
BaseRepresentation
bin1011101001000101110…
…0111010101100110000
3201010020221210100222010
42322101130322230300
511234104221204100
6231514402042520
720310255341343
oct2722134725460
9633227710863
10200008772400
1177906813018
123291a649440
1315b260a1048
14997532645a
155309108750
hex2e9173ab30

200008772400 has 240 divisors, whose sum is σ = 656261210880. Its totient is φ = 52042368000.

The previous prime is 200008772399. The next prime is 200008772401. The reversal of 200008772400 is 4277800002.

200008772400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200008772399) and next prime (200008772401).

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (200008772401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98090581 + ... + 98092619.

It is an arithmetic number, because the mean of its divisors is an integer number (2734421712).

Almost surely, 2200008772400 is an apocalyptic number.

200008772400 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 200008772400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328130605440).

200008772400 is an abundant number, since it is smaller than the sum of its proper divisors (456252438480).

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

200008772400 is a wasteful number, since it uses less digits than its factorization.

200008772400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4004 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The spelling of 200008772400 in words is "two hundred billion, eight million, seven hundred seventy-two thousand, four hundred".