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22214420 = 22519531103
BaseRepresentation
bin101010010111…
…1011100010100
31112210121110022
41110233130110
521141330140
62112044312
7356551034
oct124573424
945717408
1022214420
11115a3028
127533698
1347aa337
142d438c4
151e3c0b5
hex152f714

22214420 has 48 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 8251776.

The previous prime is 22214399. The next prime is 22214429. The reversal of 22214420 is 2441222.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214429) 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 15 ways as a sum of consecutive naturals, for example, 19589 + ... + 20691.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 222214420 is an apocalyptic number.

22214420 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 22214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

22214420 is an abundant number, since it is smaller than the sum of its proper divisors (27863020).

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

22214420 is a wasteful number, since it uses less digits than its factorization.

22214420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 22214420 is about 4713.2175846231. The cubic root of 22214420 is about 281.1113146703. Note that the first 3 decimals are identical.

Adding to 22214420 its reverse (2441222), we get a palindrome (24655642).

The spelling of 22214420 in words is "twenty-two million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 53 76 95 106 190 212 265 380 530 1007 1060 1103 2014 2206 4028 4412 5035 5515 10070 11030 20140 20957 22060 41914 58459 83828 104785 116918 209570 233836 292295 419140 584590 1110721 1169180 2221442 4442884 5553605 11107210 22214420