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4222368 = 2536181
BaseRepresentation
bin10000000110110110100000
321221112000000
4100012312200
52040103433
6230300000
750614053
oct20066640
97845000
104222368
112424367
1214b7600
13b4ab57
147bca9a
15586113
hex406da0

4222368 has 84 divisors (see below), whose sum is σ = 12532338. Its totient is φ = 1399680.

The previous prime is 4222367. The next prime is 4222373. The reversal of 4222368 is 8632224.

4222368 is a `hidden beast` number, since 422 + 236 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4210704 + 11664 = 2052^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4222367) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23238 + ... + 23418.

Almost surely, 24222368 is an apocalyptic number.

4222368 is a gapful number since it is divisible by the number (48) 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 4222368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266169).

4222368 is an abundant number, since it is smaller than the sum of its proper divisors (8309970).

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

4222368 is an equidigital number, since it uses as much as digits as its factorization.

4222368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 186 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4222368 is about 2054.8401397676. The cubic root of 4222368 is about 161.6287796339.

The spelling of 4222368 in words is "four million, two hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 181 216 243 288 324 362 432 486 543 648 724 729 864 972 1086 1296 1448 1458 1629 1944 2172 2592 2896 2916 3258 3888 4344 4887 5792 5832 6516 7776 8688 9774 11664 13032 14661 17376 19548 23328 26064 29322 39096 43983 52128 58644 78192 87966 117288 131949 156384 175932 234576 263898 351864 469152 527796 703728 1055592 1407456 2111184 4222368