Search a number
-
+
2252070912 = 21337131953
BaseRepresentation
bin1000011000111011…
…1110000000000000
312210221200001111210
42012032332000000
514103012232122
61011245410120
7106544200260
oct20616760000
95727601453
102252070912
11a56265233
1252a269940
1329b763550
141751537a0
15d2aa540c
hex863be000

2252070912 has 448 divisors, whose sum is σ = 7926750720. Its totient is φ = 552075264.

The previous prime is 2252070907. The next prime is 2252070973. The reversal of 2252070912 is 2190702522.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 2252070912.

It is a congruent number.

It is an unprimeable number.

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, 42491878 + ... + 42491930.

It is an arithmetic number, because the mean of its divisors is an integer number (17693640).

Almost surely, 22252070912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2252070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963375360).

2252070912 is an abundant number, since it is smaller than the sum of its proper divisors (5674679808).

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

2252070912 is a wasteful number, since it uses less digits than its factorization.

2252070912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2252070912 is about 47455.9892110574. The cubic root of 2252070912 is about 1310.7725978852.

The spelling of 2252070912 in words is "two billion, two hundred fifty-two million, seventy thousand, nine hundred twelve".