Search a number
-
+
2220000000312 = 2332343173540629
BaseRepresentation
bin100000010011100010010…
…011111011100100111000
321212020012121122211010210
4200103202103323210320
5242333030000002222
64415504240311120
7316250445436623
oct40234223734470
97766177584123
102220000000312
11786551141266
122ba3016124a0
1313146425b353
147963cc56dba
153cb321bcd0c
hex204e24fb938

2220000000312 has 128 divisors (see below), whose sum is σ = 5960251123200. Its totient is φ = 687367414272.

The previous prime is 2220000000271. The next prime is 2220000000319. The reversal of 2220000000312 is 2130000000222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220000000319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3836014 + ... + 4376642.

It is an arithmetic number, because the mean of its divisors is an integer number (46564461900).

Almost surely, 22220000000312 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 2220000000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980125561600).

2220000000312 is an abundant number, since it is smaller than the sum of its proper divisors (3740251122888).

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

2220000000312 is a wasteful number, since it uses less digits than its factorization.

2220000000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540877 (or 540873 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 2220000000312 its reverse (2130000000222), we get a palindrome (4350000000534).

The spelling of 2220000000312 in words is "two trillion, two hundred twenty billion, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 23 24 43 46 69 86 92 129 138 172 173 184 258 276 344 346 516 519 552 692 989 1032 1038 1384 1978 2076 2967 3956 3979 4152 5934 7439 7912 7958 11868 11937 14878 15916 22317 23736 23874 29756 31832 44634 47748 59512 89268 95496 171097 178536 342194 513291 540629 684388 1026582 1081258 1368776 1621887 2053164 2162516 3243774 4106328 4325032 6487548 12434467 12975096 23247047 24868934 37303401 46494094 49737868 69741141 74606802 92988188 93528817 99475736 139482282 149213604 185976376 187057634 278964564 280586451 298427208 374115268 534682081 557929128 561172902 748230536 1069364162 1122345804 1604046243 2138728324 2151162791 2244691608 3208092486 4021739131 4277456648 4302325582 6416184972 6453488373 8043478262 8604651164 12065217393 12832369944 12906976746 16086956524 17209302328 24130434786 25813953492 32173913048 48260869572 51627906984 92500000013 96521739144 185000000026 277500000039 370000000052 555000000078 740000000104 1110000000156 2220000000312