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22310214320 = 2455331316811
BaseRepresentation
bin10100110001110010…
…101101101010110000
32010120211121022112002
4110301302231222300
5331142403324240
614125453153132
71416603456422
oct246162555260
963524538462
1022310214320
119509597259
1243a778b7a8
1321471b8064
141119052812
158a89a8d15
hex531cadab0

22310214320 has 80 divisors (see below), whose sum is σ = 53021954592. Its totient is φ = 8727214080.

The previous prime is 22310214319. The next prime is 22310214347. The reversal of 22310214320 is 2341201322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×223102143203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22310214292 and 22310214301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1318715 + ... + 1335525.

Almost surely, 222310214320 is an apocalyptic number.

22310214320 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 22310214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26510977296).

22310214320 is an abundant number, since it is smaller than the sum of its proper divisors (30711740272).

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

22310214320 is a wasteful number, since it uses less digits than its factorization.

22310214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17190 (or 17184 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22310214320 its reverse (2341201322), we get a palindrome (24651415642).

The spelling of 22310214320 in words is "twenty-two billion, three hundred ten million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 313 424 530 626 848 1060 1252 1565 2120 2504 3130 4240 5008 6260 12520 16589 16811 25040 33178 33622 66356 67244 82945 84055 132712 134488 165890 168110 265424 268976 331780 336220 663560 672440 890983 1327120 1344880 1781966 3563932 4454915 5261843 7127864 8909830 10523686 14255728 17819660 21047372 26309215 35639320 42094744 52618430 71278640 84189488 105236860 210473720 278877679 420947440 557755358 1115510716 1394388395 2231021432 2788776790 4462042864 5577553580 11155107160 22310214320