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2225487360 = 29352343293
BaseRepresentation
bin1000010010100110…
…0011111000000000
312202002122110201210
42010221203320000
514024211043420
61004455530120
7106102221225
oct20451437000
95662573653
102225487360
11a42258658
12521389940
132960b6635
141717d394c
15d05a39e0
hex84a63e00

2225487360 has 320 divisors, whose sum is σ = 7622512128. Its totient is φ = 552566784.

The previous prime is 2225487353. The next prime is 2225487367. The reversal of 2225487360 is 637845222.

It is an interprime number because it is at equal distance from previous prime (2225487353) and next prime (2225487367).

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225487367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7595374 + ... + 7595666.

Almost surely, 22225487360 is an apocalyptic number.

2225487360 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 2225487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811256064).

2225487360 is an abundant number, since it is smaller than the sum of its proper divisors (5397024768).

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

2225487360 is a wasteful number, since it uses less digits than its factorization.

2225487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 2225487360 is about 47175.0713830938. The cubic root of 2225487360 is about 1305.5946967297.

The spelling of 2225487360 in words is "two billion, two hundred twenty-five million, four hundred eighty-seven thousand, three hundred sixty".