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2220000302112 = 253414751118717
BaseRepresentation
bin100000010011100010010…
…101000101010000100000
321212020012122020011010120
4200103202111011100200
5242333030034131422
64415504251000240
7316250451134535
oct40234225052040
97766178204116
102220000302112
11786551327a8a
122ba301739080
13131464335828
147963ccd4d8c
153cb3222c45c
hex204e2545420

2220000302112 has 96 divisors (see below), whose sum is σ = 5970941754624. Its totient is φ = 721793280000.

The previous prime is 2220000302081. The next prime is 2220000302137. The reversal of 2220000302112 is 2112030000222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2220000302091 and 2220000302100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18640578 + ... + 18759294.

It is an arithmetic number, because the mean of its divisors is an integer number (62197309944).

Almost surely, 22220000302112 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 2220000302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985470877312).

2220000302112 is an abundant number, since it is smaller than the sum of its proper divisors (3750941452512).

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

2220000302112 is a wasteful number, since it uses less digits than its factorization.

2220000302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123522 (or 123514 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 2220000302112 its reverse (2112030000222), we get a palindrome (4332030302334).

The spelling of 2220000302112 in words is "two trillion, two hundred twenty billion, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 4751 9502 14253 19004 28506 38008 57012 76016 114024 118717 152032 194791 228048 237434 356151 389582 456096 474868 584373 712302 779164 949736 1168746 1424604 1558328 1899472 2337492 2849208 3116656 3798944 4674984 4867397 5698416 6233312 9349968 9734794 11396832 14602191 18699936 19469588 29204382 38939176 58408764 77878352 116817528 155756704 233635056 467270112 564024467 1128048934 1692073401 2256097868 3384146802 4512195736 6768293604 9024391472 13536587208 18048782944 23125003147 27073174416 46250006294 54146348832 69375009441 92500012588 138750018882 185000025176 277500037764 370000050352 555000075528 740000100704 1110000151056 2220000302112