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4220316 = 2233231699
BaseRepresentation
bin10000000110010110011100
321221102012000
4100012112130
52040022231
6230242300
750605062
oct20062634
97842160
104220316
112422871
1214b6390
13b49c39
147bc032
155856e6
hex40659c

4220316 has 48 divisors (see below), whose sum is σ = 11424000. Its totient is φ = 1344816.

The previous prime is 4220297. The next prime is 4220323. The reversal of 4220316 is 6130224.

It is a happy number.

It is a super-2 number, since 2×42203162 = 35622134279712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1635 + ... + 3333.

It is an arithmetic number, because the mean of its divisors is an integer number (238000).

Almost surely, 24220316 is an apocalyptic number.

4220316 is a gapful number since it is divisible by the number (46) 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 4220316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712000).

4220316 is an abundant number, since it is smaller than the sum of its proper divisors (7203684).

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

4220316 is a wasteful number, since it uses less digits than its factorization.

4220316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4220316 is about 2054.3407701742. The cubic root of 4220316 is about 161.6025924330.

The spelling of 4220316 in words is "four million, two hundred twenty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 1699 2484 3398 5097 6796 10194 15291 20388 30582 39077 45873 61164 78154 91746 117231 156308 183492 234462 351693 468924 703386 1055079 1406772 2110158 4220316