Search a number
-
+
2905072212 = 223724999901
BaseRepresentation
bin1010110100100111…
…1110001001010100
321111110101221220010
42231021332021110
521422144302322
61200133440220
7131663464200
oct25511761124
97443357803
102905072212
111260923829
12690aa0070
13373b28653
141d7b75b00
1512009220c
hexad27e254

2905072212 has 72 divisors (see below), whose sum is σ = 7901796000. Its totient is φ = 828273600.

The previous prime is 2905072207. The next prime is 2905072213. The reversal of 2905072212 is 2122705092.

2905072212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2905072212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2905072213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288462 + ... + 298362.

Almost surely, 22905072212 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 2905072212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950898000).

2905072212 is an abundant number, since it is smaller than the sum of its proper divisors (4996723788).

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

2905072212 is a wasteful number, since it uses less digits than its factorization.

2905072212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10421 (or 10412 counting only the distinct ones).

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

The square root of 2905072212 is about 53898.7218030261. The cubic root of 2905072212 is about 1426.8740644081.

The spelling of 2905072212 in words is "two billion, nine hundred five million, seventy-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 499 588 998 1497 1996 2994 3493 5988 6986 9901 10479 13972 19802 20958 24451 29703 39604 41916 48902 59406 69307 73353 97804 118812 138614 146706 207921 277228 293412 415842 485149 831684 970298 1455447 1940596 2910894 4940599 5821788 9881198 14821797 19762396 29643594 34584193 59287188 69168386 103752579 138336772 207505158 242089351 415010316 484178702 726268053 968357404 1452536106 2905072212