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22230120 = 23351121531
BaseRepresentation
bin101010011001…
…1010001101000
31112211101222210
41110303101220
521142330440
62112245120
7356644563
oct124632150
945741883
1022230120
1111603900
1275407a0
1347b4523
142d494da
151e41a80
hex1533468

22230120 has 96 divisors (see below), whose sum is σ = 73352160. Its totient is φ = 5385600.

The previous prime is 22230119. The next prime is 22230149. The reversal of 22230120 is 2103222.

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 = 22230096 and 22230105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13755 + ... + 15285.

It is an arithmetic number, because the mean of its divisors is an integer number (764085).

Almost surely, 222230120 is an apocalyptic number.

22230120 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 22230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36676080).

22230120 is an abundant number, since it is smaller than the sum of its proper divisors (51122040).

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

22230120 is a wasteful number, since it uses less digits than its factorization.

22230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1552 counting only the distinct ones).

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

The square root of 22230120 is about 4714.8828193286. The cubic root of 22230120 is about 281.1775240412.

Adding to 22230120 its reverse (2103222), we get a palindrome (24333342).

The spelling of 22230120 in words is "twenty-two million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1531 1815 2420 2904 3062 3630 4593 4840 6124 7260 7655 9186 12248 14520 15310 16841 18372 22965 30620 33682 36744 45930 50523 61240 67364 84205 91860 101046 134728 168410 183720 185251 202092 252615 336820 370502 404184 505230 555753 673640 741004 926255 1010460 1111506 1482008 1852510 2020920 2223012 2778765 3705020 4446024 5557530 7410040 11115060 22230120