Search a number
-
+
2053612224 = 263323163317
BaseRepresentation
bin111101001100111…
…1010001011000000
312022010020022101000
41322121322023000
513201211042344
6535440012000
7101614262436
oct17231721300
95263208330
102053612224
11964235294
12493901000
132695c8981
14156a52d56
15c0452a69
hex7a67a2c0

2053612224 has 224 divisors, whose sum is σ = 6358371840. Its totient is φ = 648705024.

The previous prime is 2053612181. The next prime is 2053612229. The reversal of 2053612224 is 4222163502.

It is a happy number.

2053612224 is a `hidden beast` number, since 2 + 0 + 536 + 122 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2053612229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6478114 + ... + 6478430.

Almost surely, 22053612224 is an apocalyptic number.

2053612224 is a gapful number since it is divisible by the number (24) 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 2053612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179185920).

2053612224 is an abundant number, since it is smaller than the sum of its proper divisors (4304759616).

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

2053612224 is a wasteful number, since it uses less digits than its factorization.

2053612224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2053612224 is about 45316.7984747378. The cubic root of 2053612224 is about 1271.0797901263.

Adding to 2053612224 its reverse (4222163502), we get a palindrome (6275775726).

The spelling of 2053612224 in words is "two billion, fifty-three million, six hundred twelve thousand, two hundred twenty-four".