Search a number
-
+
2270520 = 2332571753
BaseRepresentation
bin1000101010010100111000
311021100120100
420222110320
51040124040
6120355400
725204410
oct10522470
94240510
102270520
11131096a
12915b60
13616605
14431640
152ecb30
hex22a538

2270520 has 192 divisors, whose sum is σ = 9097920. Its totient is φ = 479232.

The previous prime is 2270507. The next prime is 2270531. The reversal of 2270520 is 250722.

It is a happy number.

It is a super-2 number, since 2×22705202 = 10310522140800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2270493 and 2270502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42814 + ... + 42866.

It is an arithmetic number, because the mean of its divisors is an integer number (47385).

22270520 is an apocalyptic number.

2270520 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 2270520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548960).

2270520 is an abundant number, since it is smaller than the sum of its proper divisors (6827400).

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

2270520 is a wasteful number, since it uses less digits than its factorization.

2270520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 2270520 is about 1506.8244755113. The cubic root of 2270520 is about 131.4342175088.

The spelling of 2270520 in words is "two million, two hundred seventy thousand, five hundred twenty".