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22214214 = 23211151743
BaseRepresentation
bin101010010111…
…1011001000110
31112210121011200
41110233121012
521141323324
62112043330
7356550321
oct124573106
945717150
1022214214
11115a2960
127533546
1347aa209
142d437b8
151e3bec9
hex152f646

22214214 has 48 divisors (see below), whose sum is σ = 52925184. Its totient is φ = 6678000.

The previous prime is 22214201. The next prime is 22214233. The reversal of 22214214 is 41241222.

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 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, 29527 + ... + 30269.

It is an arithmetic number, because the mean of its divisors is an integer number (1102608).

Almost surely, 222214214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22214214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26462592).

22214214 is an abundant number, since it is smaller than the sum of its proper divisors (30710970).

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

22214214 is a wasteful number, since it uses less digits than its factorization.

22214214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 910 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 22214214 is about 4713.1957311361. The cubic root of 22214214 is about 281.1104457286.

Adding to 22214214 its reverse (41241222), we get a palindrome (63455436).

The spelling of 22214214 in words is "twenty-two million, two hundred fourteen thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 302 453 743 906 1359 1486 1661 2229 2718 3322 4458 4983 6687 8173 9966 13374 14949 16346 24519 29898 49038 73557 112193 147114 224386 336579 673158 1009737 1234123 2019474 2468246 3702369 7404738 11107107 22214214