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2189255040 = 2735572011
BaseRepresentation
bin1000001001111101…
…0110000110000000
312122120110200100000
42002133112012000
513440422130130
61001123200000
7105152234520
oct20237260600
95576420300
102189255040
11a23860795
12511216000
1328b73b9ab
1416aa81680
15cc2e8260
hex827d6180

2189255040 has 384 divisors, whose sum is σ = 8964184320. Its totient is φ = 500152320.

The previous prime is 2189255027. The next prime is 2189255041. The reversal of 2189255040 is 405529812.

2189255040 is a `hidden beast` number, since 2 + 18 + 92 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2189254986 and 2189255004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2189255041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087635 + ... + 1089645.

It is an arithmetic number, because the mean of its divisors is an integer number (23344230).

Almost surely, 22189255040 is an apocalyptic number.

2189255040 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 2189255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482092160).

2189255040 is an abundant number, since it is smaller than the sum of its proper divisors (6774929280).

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

2189255040 is an equidigital number, since it uses as much as digits as its factorization.

2189255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2189255040 is about 46789.4757397430. The cubic root of 2189255040 is about 1298.4705958930.

The spelling of 2189255040 in words is "two billion, one hundred eighty-nine million, two hundred fifty-five thousand, forty".