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2206103440 = 245791033389
BaseRepresentation
bin1000001101111110…
…0111011110010000
312200202011122222211
42003133213132100
514004230302230
61002524241504
7105445366312
oct20337473620
95622148884
102206103440
11a32319192
125169a0294
1329208a768
1416cdc97b2
15cda2542a
hex837e7790

2206103440 has 80 divisors (see below), whose sum is σ = 5246092800. Its totient is φ = 862557696.

The previous prime is 2206103381. The next prime is 2206103461. The reversal of 2206103440 is 443016022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649266 + ... + 652654.

It is an arithmetic number, because the mean of its divisors is an integer number (65576160).

Almost surely, 22206103440 is an apocalyptic number.

2206103440 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 2206103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623046400).

2206103440 is an abundant number, since it is smaller than the sum of its proper divisors (3039989360).

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

2206103440 is a wasteful number, since it uses less digits than its factorization.

2206103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2206103440 is about 46969.1754238884. The cubic root of 2206103440 is about 1301.7930759884.

Adding to 2206103440 its reverse (443016022), we get a palindrome (2649119462).

The spelling of 2206103440 in words is "two billion, two hundred six million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 103 158 206 316 395 412 515 632 790 824 1030 1264 1580 1648 2060 3160 3389 4120 6320 6778 8137 8240 13556 16274 16945 27112 32548 33890 40685 54224 65096 67780 81370 130192 135560 162740 267731 271120 325480 349067 535462 650960 698134 1070924 1338655 1396268 1745335 2141848 2677310 2792536 3490670 4283696 5354620 5585072 6981340 10709240 13962680 21418480 27576293 27925360 55152586 110305172 137881465 220610344 275762930 441220688 551525860 1103051720 2206103440