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2210002128 = 243230749991
BaseRepresentation
bin1000001110111001…
…1111010011010000
312201000111201222200
42003232133103100
514011230032003
61003144003200
7105523464615
oct20356372320
95630451880
102210002128
11a34541344
12518160500
13292b24189
1416d72250c
15ce0456a3
hex83b9f4d0

2210002128 has 60 divisors (see below), whose sum is σ = 6205207008. Its totient is φ = 734253120.

The previous prime is 2210002103. The next prime is 2210002129. The reversal of 2210002128 is 8212000122.

It is a happy number.

2210002128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2210002128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210002129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19213 + ... + 69203.

Almost surely, 22210002128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210002128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102603504).

2210002128 is an abundant number, since it is smaller than the sum of its proper divisors (3995204880).

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

2210002128 is a wasteful number, since it uses less digits than its factorization.

2210002128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50312 (or 50303 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2210002128 is about 47010.6597273427. The cubic root of 2210002128 is about 1302.5594797987.

The spelling of 2210002128 in words is "two billion, two hundred ten million, two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 11052 14736 22104 44208 49991 99982 149973 199964 299946 399928 449919 599892 799856 899838 1199784 1799676 2399568 3599352 7198704 15347237 30694474 46041711 61388948 92083422 122777896 138125133 184166844 245555792 276250266 368333688 552500532 736667376 1105001064 2210002128