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22231020 = 22357411291
BaseRepresentation
bin101010011001…
…1011111101100
31112211110020010
41110303133230
521142343040
62112253220
7356650320
oct124633754
945743203
1022231020
1111604549
127541210
1347b4a66
142d49980
151e41e80
hex15337ec

22231020 has 96 divisors (see below), whose sum is σ = 72930816. Its totient is φ = 4953600.

The previous prime is 22230997. The next prime is 22231037. The reversal of 22231020 is 2013222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22230987 and 22231005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16575 + ... + 17865.

It is an arithmetic number, because the mean of its divisors is an integer number (759696).

Almost surely, 222231020 is an apocalyptic number.

22231020 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 22231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36465408).

22231020 is an abundant number, since it is smaller than the sum of its proper divisors (50699796).

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

22231020 is a wasteful number, since it uses less digits than its factorization.

22231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 22231020 is about 4714.9782608194. The cubic root of 22231020 is about 281.1813185379.

Adding to 22231020 its reverse (2013222), we get a palindrome (24244242).

The spelling of 22231020 in words is "twenty-two million, two hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 41 42 60 70 82 84 105 123 140 164 205 210 246 287 410 420 492 574 615 820 861 1148 1230 1291 1435 1722 2460 2582 2870 3444 3873 4305 5164 5740 6455 7746 8610 9037 12910 15492 17220 18074 19365 25820 27111 36148 38730 45185 52931 54222 77460 90370 105862 108444 135555 158793 180740 211724 264655 271110 317586 370517 529310 542220 635172 741034 793965 1058620 1111551 1482068 1587930 1852585 2223102 3175860 3705170 4446204 5557755 7410340 11115510 22231020