Search a number
-
+
2225204520 = 2335711221893
BaseRepresentation
bin1000010010100001…
…1110110100101000
312202002010002202020
42010220132310220
514024123021040
61004445504440
7106066632510
oct20450366450
95662102666
102225204520
11a42085100
12521272120
13296017986
1417175c840
15d0549cd0
hex84a1ed28

2225204520 has 192 divisors, whose sum is σ = 8386277760. Its totient is φ = 462359040.

The previous prime is 2225204507. The next prime is 2225204537. The reversal of 2225204520 is 254025222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90694 + ... + 112586.

It is an arithmetic number, because the mean of its divisors is an integer number (43678530).

Almost surely, 22225204520 is an apocalyptic number.

2225204520 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 2225204520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193138880).

2225204520 is an abundant number, since it is smaller than the sum of its proper divisors (6161073240).

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

2225204520 is a wasteful number, since it uses less digits than its factorization.

2225204520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21936 (or 21921 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 2225204520 is about 47172.0735181315. The cubic root of 2225204520 is about 1305.5393844933.

Adding to 2225204520 its reverse (254025222), we get a palindrome (2479229742).

The spelling of 2225204520 in words is "two billion, two hundred twenty-five million, two hundred four thousand, five hundred twenty".