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2216201120 = 255710718493
BaseRepresentation
bin1000010000011000…
…1000101110100000
312201110011200101222
42010012020232200
514014321413440
61003524514212
7105630253520
oct20406105640
95643150358
102216201120
11a37a95781
1251a24b968
132941b4913
14170497680
15ce86c2b5
hex84188ba0

2216201120 has 96 divisors (see below), whose sum is σ = 6039992448. Its totient is φ = 752698368.

The previous prime is 2216201093. The next prime is 2216201131. The reversal of 2216201120 is 211026122.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110594 + ... + 129086.

It is an arithmetic number, because the mean of its divisors is an integer number (62916588).

Almost surely, 22216201120 is an apocalyptic number.

2216201120 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 2216201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019996224).

2216201120 is an abundant number, since it is smaller than the sum of its proper divisors (3823791328).

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

2216201120 is a wasteful number, since it uses less digits than its factorization.

2216201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18622 (or 18614 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2216201120 is about 47076.5453277957. The cubic root of 2216201120 is about 1303.7762234093.

Adding to 2216201120 its reverse (211026122), we get a palindrome (2427227242).

The spelling of 2216201120 in words is "two billion, two hundred sixteen million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 107 112 140 160 214 224 280 428 535 560 749 856 1070 1120 1498 1712 2140 2996 3424 3745 4280 5992 7490 8560 11984 14980 17120 18493 23968 29960 36986 59920 73972 92465 119840 129451 147944 184930 258902 295888 369860 517804 591776 647255 739720 1035608 1294510 1479440 1978751 2071216 2589020 2958880 3957502 4142432 5178040 7915004 9893755 10356080 13851257 15830008 19787510 20712160 27702514 31660016 39575020 55405028 63320032 69256285 79150040 110810056 138512570 158300080 221620112 277025140 316600160 443240224 554050280 1108100560 2216201120