Search a number
-
+
2190395520 = 27345293147
BaseRepresentation
bin1000001010001110…
…1100100010000000
312122122121121210000
42002203230202000
513441220124040
61001203440000
7105165024525
oct20243544200
95578547700
102190395520
11a2446a635
12511686000
1328ba4ab31
1416ac9b14c
15cc471130
hex828ec880

2190395520 has 640 divisors, whose sum is σ = 8530790400. Its totient is φ = 534159360.

The previous prime is 2190395483. The next prime is 2190395527. The reversal of 2190395520 is 255930912.

It is a happy number.

2190395520 is a `hidden beast` number, since 219 + 0 + 395 + 52 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2190395527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46604137 + ... + 46604183.

It is an arithmetic number, because the mean of its divisors is an integer number (13329360).

Almost surely, 22190395520 is an apocalyptic number.

2190395520 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 2190395520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265395200).

2190395520 is an abundant number, since it is smaller than the sum of its proper divisors (6340394880).

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

2190395520 is a wasteful number, since it uses less digits than its factorization.

2190395520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2190395520 is about 46801.6615089678. The cubic root of 2190395520 is about 1298.6960337155.

The spelling of 2190395520 in words is "two billion, one hundred ninety million, three hundred ninety-five thousand, five hundred twenty".