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22146060 = 2235834447
BaseRepresentation
bin101010001111…
…0110000001100
31112200010200110
41110132300030
521132133220
62110400020
7356144526
oct124366014
945603613
1022146060
1111556732
127500010
1347851a1
142d26a16
151e26be0
hex151ec0c

22146060 has 48 divisors (see below), whose sum is σ = 62770176. Its totient is φ = 5833152.

The previous prime is 22146043. The next prime is 22146101. The reversal of 22146060 is 6064122.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 2757 + ... + 7203.

It is an arithmetic number, because the mean of its divisors is an integer number (1307712).

Almost surely, 222146060 is an apocalyptic number.

22146060 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 22146060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31385088).

22146060 is an abundant number, since it is smaller than the sum of its proper divisors (40624116).

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

22146060 is a wasteful number, since it uses less digits than its factorization.

22146060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4542 (or 4540 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22146060 is about 4705.9600508292. The cubic root of 22146060 is about 280.8226656001.

The spelling of 22146060 in words is "twenty-two million, one hundred forty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4447 4980 8894 13341 17788 22235 26682 44470 53364 66705 88940 133410 266820 369101 738202 1107303 1476404 1845505 2214606 3691010 4429212 5536515 7382020 11073030 22146060