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22001320 = 23511311613
BaseRepresentation
bin101001111101…
…1011010101000
31112101210010201
41103323122220
521113020240
62103321544
7355002535
oct123733250
945353121
1022001320
1111467a10
1274502b4
134734343
142cc9d8c
151de8d9a
hex14fb6a8

22001320 has 64 divisors (see below), whose sum is σ = 55779840. Its totient is φ = 7737600.

The previous prime is 22001303. The next prime is 22001321. The reversal of 22001320 is 2310022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 22001297 and 22001306.

It is not an unprimeable number, because it can be changed into a prime (22001321) 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, 12834 + ... + 14446.

It is an arithmetic number, because the mean of its divisors is an integer number (871560).

Almost surely, 222001320 is an apocalyptic number.

22001320 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 22001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27889920).

22001320 is an abundant number, since it is smaller than the sum of its proper divisors (33778520).

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

22001320 is a wasteful number, since it uses less digits than its factorization.

22001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 22001320 is about 4690.5564701856. The cubic root of 22001320 is about 280.2095370321.

Adding to 22001320 its reverse (2310022), we get a palindrome (24311342).

The spelling of 22001320 in words is "twenty-two million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1613 1705 2728 3226 3410 6452 6820 8065 12904 13640 16130 17743 32260 35486 50003 64520 70972 88715 100006 141944 177430 200012 250015 354860 400024 500030 550033 709720 1000060 1100066 2000120 2200132 2750165 4400264 5500330 11000660 22001320