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22214340 = 22325167739
BaseRepresentation
bin101010010111…
…1011011000100
31112210121100100
41110233123010
521141324330
62112044100
7356550561
oct124573304
945717310
1022214340
11115a2a65
127533630
1347aa2a5
142d43868
151e3c060
hex152f6c4

22214340 has 72 divisors (see below), whose sum is σ = 67878720. Its totient is φ = 5880384.

The previous prime is 22214323. The next prime is 22214341. The reversal of 22214340 is 4341222.

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

It is not an unprimeable number, because it can be changed into a prime (22214341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29691 + ... + 30429.

It is an arithmetic number, because the mean of its divisors is an integer number (942760).

Almost surely, 222214340 is an apocalyptic number.

22214340 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 22214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33939360).

22214340 is an abundant number, since it is smaller than the sum of its proper divisors (45664380).

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

22214340 is a wasteful number, since it uses less digits than its factorization.

22214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 22214340 is about 4713.2090978441. The cubic root of 22214340 is about 281.1109772178.

Adding to 22214340 its reverse (4341222), we get a palindrome (26555562).

It can be divided in two parts, 2221 and 4340, that added together give a 8-th power (6561 = 38).

The spelling of 22214340 in words is "twenty-two million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 739 835 1002 1478 1503 1670 2004 2217 2505 2956 3006 3340 3695 4434 5010 6012 6651 7390 7515 8868 10020 11085 13302 14780 15030 22170 26604 30060 33255 44340 66510 123413 133020 246826 370239 493652 617065 740478 1110717 1234130 1480956 1851195 2221434 2468260 3702390 4442868 5553585 7404780 11107170 22214340