Search a number
-
+
2200128 = 26371637
BaseRepresentation
bin1000011001001001000000
311010210000020
420121021000
51030401003
6115053440
724462240
oct10311100
94123006
102200128
111272a97
128a1280
135c0568
14413b20
152d6d53
hex219240

2200128 has 56 divisors (see below), whose sum is σ = 6656832. Its totient is φ = 628224.

The previous prime is 2200103. The next prime is 2200139. The reversal of 2200128 is 8210022.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526 + ... + 2162.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

22200128 is an apocalyptic number.

2200128 is a gapful number since it is divisible by the number (28) 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 2200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328416).

2200128 is an abundant number, since it is smaller than the sum of its proper divisors (4456704).

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

2200128 is a wasteful number, since it uses less digits than its factorization.

2200128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2200128 is about 1483.2828455827. The cubic root of 2200128 is about 130.0616669954.

The spelling of 2200128 in words is "two million, two hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1637 3274 4911 6548 9822 11459 13096 19644 22918 26192 34377 39288 45836 52384 68754 78576 91672 104768 137508 157152 183344 275016 314304 366688 550032 733376 1100064 2200128