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22214504160 = 25325106914431
BaseRepresentation
bin10100101100000101…
…100110111011100000
32010100011111201212100
4110230011212323200
5330443403113120
614112153530400
71414332112152
oct245405467340
963304451770
1022214504160
11946a565852
12437b713a00
132130417024
14110a45aad2
158a03a0490
hex52c166ee0

22214504160 has 144 divisors (see below), whose sum is σ = 75883167360. Its totient is φ = 5917916160.

The previous prime is 22214504101. The next prime is 22214504167. The reversal of 22214504160 is 6140541222.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214504167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1532145 + ... + 1546575.

It is an arithmetic number, because the mean of its divisors is an integer number (526966440).

Almost surely, 222214504160 is an apocalyptic number.

22214504160 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 22214504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37941583680).

22214504160 is an abundant number, since it is smaller than the sum of its proper divisors (53668663200).

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

22214504160 is a wasteful number, since it uses less digits than its factorization.

22214504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15521 (or 15510 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 22214504160 in words is "twenty-two billion, two hundred fourteen million, five hundred four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1069 1440 2138 3207 4276 5345 6414 8552 9621 10690 12828 14431 16035 17104 19242 21380 25656 28862 32070 34208 38484 42760 43293 48105 51312 57724 64140 72155 76968 85520 86586 96210 102624 115448 128280 129879 144310 153936 171040 173172 192420 216465 230896 256560 259758 288620 307872 346344 384840 432930 461792 513120 519516 577240 649395 692688 769680 865860 1039032 1154480 1298790 1385376 1539360 1731720 2078064 2308960 2597580 3463440 4156128 5195160 6926880 10390320 15426739 20780640 30853478 46280217 61706956 77133695 92560434 123413912 138840651 154267390 185120868 231401085 246827824 277681302 308534780 370241736 462802170 493655648 555362604 617069560 694203255 740483472 925604340 1110725208 1234139120 1388406510 1480966944 1851208680 2221450416 2468278240 2776813020 3702417360 4442900832 5553626040 7404834720 11107252080 22214504160