Search a number
-
+
2012023992 = 2331123214407
BaseRepresentation
bin111011111101101…
…0000110010111000
312012012222102001010
41313323100302320
513110034231432
6531352353520
7100600631106
oct16773206270
95165872033
102012023992
1194280a450
124819a58a0
13260ac7254
14151308c76
15bb98a3cc
hex77ed0cb8

2012023992 has 96 divisors (see below), whose sum is σ = 5736689280. Its totient is φ = 583154880.

The previous prime is 2012023963. The next prime is 2012023997. The reversal of 2012023992 is 2993202102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012023997) 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, 132453 + ... + 146859.

It is an arithmetic number, because the mean of its divisors is an integer number (59757180).

Almost surely, 22012023992 is an apocalyptic number.

2012023992 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 2012023992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868344640).

2012023992 is an abundant number, since it is smaller than the sum of its proper divisors (3724665288).

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

2012023992 is a wasteful number, since it uses less digits than its factorization.

2012023992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14473 (or 14446 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2012023992 is about 44855.5904208160. The cubic root of 2012023992 is about 1262.4408869751.

The spelling of 2012023992 in words is "two billion, twelve million, twenty-three thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 529 552 759 1012 1058 1518 1587 2024 2116 3036 3174 4232 5819 6072 6348 11638 12696 14407 17457 23276 28814 34914 43221 46552 57628 69828 86442 115256 139656 158477 172884 316954 331361 345768 475431 633908 662722 950862 994083 1267816 1325444 1901724 1988166 2650888 3644971 3803448 3976332 7289942 7621303 7952664 10934913 14579884 15242606 21869826 22863909 29159768 30485212 43739652 45727818 60970424 83834333 87479304 91455636 167668666 182911272 251502999 335337332 503005998 670674664 1006011996 2012023992