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22413104000 = 27537200117
BaseRepresentation
bin10100110111111011…
…001101001110000000
32010212000012122121222
4110313323031032000
5331400223312000
614144010334212
71422263145350
oct246773151600
963760178558
1022413104000
119561681851
12441612a368
132162600c21
141128996b60
158b2a2ea85
hex537ecd380

22413104000 has 128 divisors (see below), whose sum is σ = 63685552320. Its totient is φ = 7684454400.

The previous prime is 22413103949. The next prime is 22413104003. The reversal of 22413104000 is 40131422.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 22413104000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413104003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11942 + ... + 212058.

Almost surely, 222413104000 is an apocalyptic number.

22413104000 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 22413104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31842776160).

22413104000 is an abundant number, since it is smaller than the sum of its proper divisors (41272448320).

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

22413104000 is an equidigital number, since it uses as much as digits as its factorization.

22413104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200153 (or 200131 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 22413104000 its reverse (40131422), we get a palindrome (22453235422).

The spelling of 22413104000 in words is "twenty-two billion, four hundred thirteen million, one hundred four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1400 1600 1750 2000 2240 2800 3200 3500 4000 4480 5600 7000 8000 11200 14000 16000 22400 28000 56000 112000 200117 400234 800468 1000585 1400819 1600936 2001170 2801638 3201872 4002340 5002925 5603276 6403744 7004095 8004680 10005850 11206552 12807488 14008190 16009360 20011700 22413104 25014625 25614976 28016380 32018720 35020475 40023400 44826208 50029250 56032760 64037440 70040950 80046800 89652416 100058500 112065520 128074880 140081900 160093600 175102375 179304832 200117000 224131040 280163800 320187200 350204750 400234000 448262080 560327600 640374400 700409500 800468000 896524160 1120655200 1400819000 1600936000 2241310400 2801638000 3201872000 4482620800 5603276000 11206552000 22413104000