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22103411200 = 295213132833
BaseRepresentation
bin10100100101011101…
…110100101000000000
32010001102110121222021
4110211131310220000
5330231433124300
614053144451224
71411512616033
oct244535645000
963042417867
1022103411200
119412887a92
12434a479b14
1321133bb350
1410d97bd01a
15895758d1a
hex525774a00

22103411200 has 120 divisors (see below), whose sum is σ = 58975904988. Its totient is φ = 8161198080.

The previous prime is 22103411179. The next prime is 22103411219. The reversal of 22103411200 is 211430122.

It can be written as a sum of positive squares in 6 ways, for example, as 204146944 + 21899264256 = 14288^2 + 147984^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99984 + ... + 232816.

Almost surely, 222103411200 is an apocalyptic number.

22103411200 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 22103411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29487952494).

22103411200 is an abundant number, since it is smaller than the sum of its proper divisors (36872493788).

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

22103411200 is a wasteful number, since it uses less digits than its factorization.

22103411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132874 (or 132853 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22103411200 its reverse (211430122), we get a palindrome (22314841322).

The spelling of 22103411200 in words is "twenty-two billion, one hundred three million, four hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 512 520 640 650 800 832 1040 1280 1300 1600 1664 2080 2560 2600 3200 3328 4160 5200 6400 6656 8320 10400 12800 16640 20800 33280 41600 83200 132833 166400 265666 531332 664165 1062664 1328330 1726829 2125328 2656660 3320825 3453658 4250656 5313320 6641650 6907316 8501312 8634145 10626640 13283300 13814632 17002624 17268290 21253280 26566600 27629264 34005248 34536580 42506560 43170725 53133200 55258528 68010496 69073160 85013120 86341450 106266400 110517056 138146320 170026240 172682900 212532800 221034112 276292640 340052480 345365800 425065600 442068224 552585280 690731600 850131200 884136448 1105170560 1381463200 1700262400 2210341120 2762926400 4420682240 5525852800 11051705600 22103411200