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2200706640 = 24325111132459
BaseRepresentation
bin1000001100101100…
…0001111001010000
312200101000110222100
42003023001321100
514001340103030
61002212440400
7105351461226
oct20313017120
95611013870
102200706640
11a2a272520
12515019100
13290c1b1a2
1416c3c2b16
15cd30b360
hex832c1e50

2200706640 has 240 divisors, whose sum is σ = 8137247040. Its totient is φ = 528568320.

The previous prime is 2200706633. The next prime is 2200706653. The reversal of 2200706640 is 466070022.

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, 893731 + ... + 896189.

It is an arithmetic number, because the mean of its divisors is an integer number (33905196).

Almost surely, 22200706640 is an apocalyptic number.

2200706640 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 2200706640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4068623520).

2200706640 is an abundant number, since it is smaller than the sum of its proper divisors (5936540400).

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

2200706640 is a wasteful number, since it uses less digits than its factorization.

2200706640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2200706640 is about 46911.6898011572. The cubic root of 2200706640 is about 1300.7306819359.

Adding to 2200706640 its reverse (466070022), we get a palindrome (2666776662).

The spelling of 2200706640 in words is "two billion, two hundred million, seven hundred six thousand, six hundred forty".