Search a number
-
+
2012966220 = 22351092331321
BaseRepresentation
bin111011111111011…
…0110110101001100
312012021202021112110
41313332312311030
513110304404340
6531424504020
7100611634116
oct16776666514
95167667473
102012966220
119432a3351
1248217b010
13261067095
141514b23b6
15bbac4680
hex77fb6d4c

2012966220 has 96 divisors (see below), whose sum is σ = 5716751040. Its totient is φ = 529182720.

The previous prime is 2012966201. The next prime is 2012966231. The reversal of 2012966220 is 226692102.

It is a super-2 number, since 2×20129662202 = 8104066005722176800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1523160 + ... + 1524480.

It is an arithmetic number, because the mean of its divisors is an integer number (59549490).

Almost surely, 22012966220 is an apocalyptic number.

2012966220 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 2012966220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858375520).

2012966220 is an abundant number, since it is smaller than the sum of its proper divisors (3703784820).

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

2012966220 is a wasteful number, since it uses less digits than its factorization.

2012966220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 2012966220 is about 44866.0920963705. The cubic root of 2012966220 is about 1262.6379226505.

The spelling of 2012966220 in words is "two billion, twelve million, nine hundred sixty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 233 327 436 466 545 654 699 932 1090 1165 1308 1321 1398 1635 2180 2330 2642 2796 3270 3495 3963 4660 5284 6540 6605 6990 7926 13210 13980 15852 19815 25397 26420 39630 50794 76191 79260 101588 126985 143989 152382 253970 287978 304764 307793 380955 431967 507940 575956 615586 719945 761910 863934 923379 1231172 1439890 1523820 1538965 1727868 1846758 2159835 2879780 3077930 3693516 4319670 4616895 6155860 8639340 9233790 18467580 33549437 67098874 100648311 134197748 167747185 201296622 335494370 402593244 503241555 670988740 1006483110 2012966220