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2053225152 = 263311109991
BaseRepresentation
bin111101001100001…
…1011101011000000
312022002111122102000
41322120123223000
513201111201102
6535423424000
7101611061106
oct17230335300
95262448360
102053225152
11963aa04a0
12493755000
132694c1734
14156991c76
15c03c801c
hex7a61bac0

2053225152 has 224 divisors, whose sum is σ = 6651955200. Its totient is φ = 615859200.

The previous prime is 2053225151. The next prime is 2053225241. The reversal of 2053225152 is 2515223502.

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 (2053225151) 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, 2071377 + ... + 2072367.

Almost surely, 22053225152 is an apocalyptic number.

2053225152 is a gapful number since it is divisible by the number (22) 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 2053225152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3325977600).

2053225152 is an abundant number, since it is smaller than the sum of its proper divisors (4598730048).

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

2053225152 is a wasteful number, since it uses less digits than its factorization.

2053225152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2053225152 is about 45312.5275393020. The cubic root of 2053225152 is about 1270.9999259232. Note that the first 4 decimals are identical.

Adding to 2053225152 its reverse (2515223502), we get a palindrome (4568448654).

The spelling of 2053225152 in words is "two billion, fifty-three million, two hundred twenty-five thousand, one hundred fifty-two".