Search a number
-
+
2033297112 = 23371137131227
BaseRepresentation
bin111100100110001…
…1010011011011000
312020201000012021110
41321030122123120
513131011001422
6533432340320
7101246511630
oct17114323330
95221005243
102033297112
1195381a240
12488b446a0
13265334cb2
141540856c0
15bd78d60c
hex7931a6d8

2033297112 has 256 divisors, whose sum is σ = 6587412480. Its totient is φ = 507686400.

The previous prime is 2033297107. The next prime is 2033297131. The reversal of 2033297112 is 2117923302.

It is a super-3 number, since 3×20332971123 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2033297112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8957143 + ... + 8957369.

It is an arithmetic number, because the mean of its divisors is an integer number (25732080).

Almost surely, 22033297112 is an apocalyptic number.

2033297112 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 2033297112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293706240).

2033297112 is an abundant number, since it is smaller than the sum of its proper divisors (4554115368).

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

2033297112 is a wasteful number, since it uses less digits than its factorization.

2033297112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 2033297112 is about 45092.0958927393. The cubic root of 2033297112 is about 1266.8745582448.

The spelling of 2033297112 in words is "two billion, thirty-three million, two hundred ninety-seven thousand, one hundred twelve".