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2200074030 = 2325731121931
BaseRepresentation
bin1000001100100010…
…0111011100101110
312200022211100012100
42003020213130232
514001204332110
61002151115530
7105343215000
oct20310473456
95608740170
102200074030
11a29980200
12514972ba6
13290a5926b
1416c29a370
15cd233bc0
hex8322772e

2200074030 has 576 divisors, whose sum is σ = 7967232000. Its totient is φ = 419126400.

The previous prime is 2200074029. The next prime is 2200074031. The reversal of 2200074030 is 304700022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2200074029) and next prime (2200074031).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2200073994 and 2200074012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200074031) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 70970115 + ... + 70970145.

It is an arithmetic number, because the mean of its divisors is an integer number (13832000).

Almost surely, 22200074030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200074030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983616000).

2200074030 is an abundant number, since it is smaller than the sum of its proper divisors (5767157970).

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

2200074030 is a wasteful number, since it uses less digits than its factorization.

2200074030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2200074030 is about 46904.9467540472. The cubic root of 2200074030 is about 1300.6060349885.

Adding to 2200074030 its reverse (304700022), we get a palindrome (2504774052).

The spelling of 2200074030 in words is "two billion, two hundred million, seventy-four thousand, thirty".