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2152452120 = 2335713439449
BaseRepresentation
bin1000000001001011…
…1101000000011000
312120000012220012220
42000102331000120
513402011431440
6553330304040
7104224353420
oct20022750030
95500186186
102152452120
11a05004155
12500a28020
13283c24410
14165c21480
15c8e788d0
hex804bd018

2152452120 has 256 divisors, whose sum is σ = 7983360000. Its totient is φ = 452100096.

The previous prime is 2152452053. The next prime is 2152452121. The reversal of 2152452120 is 212542512.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152452121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4793656 + ... + 4794104.

It is an arithmetic number, because the mean of its divisors is an integer number (31185000).

Almost surely, 22152452120 is an apocalyptic number.

2152452120 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 2152452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991680000).

2152452120 is an abundant number, since it is smaller than the sum of its proper divisors (5830907880).

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

2152452120 is a wasteful number, since it uses less digits than its factorization.

2152452120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2152452120 is about 46394.5268323754. The cubic root of 2152452120 is about 1291.1533702598.

Adding to 2152452120 its reverse (212542512), we get a palindrome (2364994632).

The spelling of 2152452120 in words is "two billion, one hundred fifty-two million, four hundred fifty-two thousand, one hundred twenty".