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22314350000 = 2455676661
BaseRepresentation
bin10100110010000010…
…011111010110110000
32010121010101102121102
4110302002133112300
5331144433200000
614130121543532
71416653562665
oct246202372660
963533342542
1022314350000
119510961478
1243a9044ba8
1321480055c7
14111980ba6c
158a90243d5
hex53209f5b0

22314350000 has 120 divisors (see below), whose sum is σ = 54853895376. Its totient is φ = 8791200000.

The previous prime is 22314349891. The next prime is 22314350077. The reversal of 22314350000 is 5341322.

It is a happy number.

It is a super-3 number, since 3×223143500003 (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3346670 + ... + 3353330.

Almost surely, 222314350000 is an apocalyptic number.

22314350000 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 22314350000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426947688).

22314350000 is an abundant number, since it is smaller than the sum of its proper divisors (32539545376).

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

22314350000 is an frugal number, since it uses more digits than its factorization.

22314350000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6735 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 22314350000 its reverse (5341322), we get a palindrome (22319691322).

The spelling of 22314350000 in words is "twenty-two billion, three hundred fourteen million, three hundred fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 67 80 100 125 134 200 250 268 335 400 500 536 625 670 1000 1072 1250 1340 1675 2000 2500 2680 3125 3350 5000 5360 6250 6661 6700 8375 10000 12500 13322 13400 16750 25000 26644 26800 33305 33500 41875 50000 53288 66610 67000 83750 106576 133220 134000 166525 167500 209375 266440 333050 335000 418750 446287 532880 666100 670000 832625 837500 892574 1332200 1665250 1675000 1785148 2231435 2664400 3330500 3350000 3570296 4163125 4462870 6661000 7140592 8326250 8925740 11157175 13322000 16652500 17851480 20815625 22314350 33305000 35702960 41631250 44628700 55785875 66610000 83262500 89257400 111571750 166525000 178514800 223143500 278929375 333050000 446287000 557858750 892574000 1115717500 1394646875 2231435000 2789293750 4462870000 5578587500 11157175000 22314350000