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2201104320 = 26357929023
BaseRepresentation
bin1000001100110010…
…0010111111000000
312200101202200111020
42003030202333000
514001440314240
61002225145440
7105355035522
oct20314427700
95611680436
102201104320
11a2a514288
1251518b280
1329102a1bc
1416c487a12
15cd3890d0
hex83322fc0

2201104320 has 112 divisors (see below), whose sum is σ = 7077212160. Its totient is φ = 579511296.

The previous prime is 2201104303. The next prime is 2201104349. The reversal of 2201104320 is 234011022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2201104320.

It is a congruent number.

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, 61329 + ... + 90351.

Almost surely, 22201104320 is an apocalyptic number.

2201104320 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 2201104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538606080).

2201104320 is an abundant number, since it is smaller than the sum of its proper divisors (4876107840).

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

2201104320 is a wasteful number, since it uses less digits than its factorization.

2201104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29122 (or 29112 counting only the distinct ones).

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

The square root of 2201104320 is about 46915.9282120689. The cubic root of 2201104320 is about 1300.8090269870.

Adding to 2201104320 its reverse (234011022), we get a palindrome (2435115342).

The spelling of 2201104320 in words is "two billion, two hundred one million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 316 320 395 474 480 632 790 948 960 1185 1264 1580 1896 2370 2528 3160 3792 4740 5056 6320 7584 9480 12640 15168 18960 25280 29023 37920 58046 75840 87069 116092 145115 174138 232184 290230 348276 435345 464368 580460 696552 870690 928736 1160920 1393104 1741380 1857472 2292817 2321840 2786208 3482760 4585634 4643680 5572416 6878451 6965520 9171268 9287360 11464085 13756902 13931040 18342536 22928170 27513804 27862080 34392255 36685072 45856340 55027608 68784510 73370144 91712680 110055216 137569020 146740288 183425360 220110432 275138040 366850720 440220864 550276080 733701440 1100552160 2201104320