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22114320000 = 2735492143
BaseRepresentation
bin10100100110000111…
…011011111010000000
32010002011222212000220
4110212013123322000
5330242231220000
614054214343040
71412004422103
oct244607337200
963064885026
1022114320000
119418a58a23
12435205aa80
13211573a766
1410db01c73a
158966b11a0
hex5261dbe80

22114320000 has 160 divisors (see below), whose sum is σ = 73403753280. Its totient is φ = 5897088000.

The previous prime is 22114319999. The next prime is 22114320023. The reversal of 22114320000 is 2341122.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 193929 + ... + 286071.

It is an arithmetic number, because the mean of its divisors is an integer number (458773458).

Almost surely, 222114320000 is an apocalyptic number.

22114320000 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 22114320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36701876640).

22114320000 is an abundant number, since it is smaller than the sum of its proper divisors (51289433280).

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

22114320000 is an frugal number, since it uses more digits than its factorization.

22114320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92180 (or 92153 counting only the distinct ones).

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

Adding to 22114320000 its reverse (2341122), we get a palindrome (22116661122).

The spelling of 22114320000 in words is "twenty-two billion, one hundred fourteen million, three hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 92143 120000 184286 240000 276429 368572 460715 552858 737144 921430 1105716 1382145 1474288 1842860 2211432 2303575 2764290 2948576 3685720 4422864 4607150 5528580 5897152 6910725 7371440 8845728 9214300 11057160 11517875 11794304 13821450 14742880 17691456 18428600 22114320 23035750 27642900 29485760 34553625 35382912 36857200 44228640 46071500 55285800 57589375 58971520 69107250 73714400 88457280 92143000 110571600 115178750 138214500 147428800 172768125 176914560 184286000 221143200 230357500 276429000 294857600 345536250 368572000 442286400 460715000 552858000 691072500 737144000 884572800 921430000 1105716000 1382145000 1474288000 1842860000 2211432000 2764290000 3685720000 4422864000 5528580000 7371440000 11057160000 22114320000