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22214311341222 = 237211132371098511
BaseRepresentation
bin1010000110100001011000…
…01000101110110010100110
32220122200000112220111120010
411003100230020232302212
510402424402200404342
6115125040322551050
74451634225615600
oct503205410566246
986580015814503
1022214311341222
117095044698550
1225a9347b08486
13c51a53b15100
1456b26d78c170
15287ca291a29c
hex14342c22eca6

22214311341222 has 288 divisors, whose sum is σ = 62701342493184. Its totient is φ = 5182155014400.

The previous prime is 22214311341221. The next prime is 22214311341239.

22214311341222 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 22214311341222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22214311341221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19672947 + ... + 20771457.

It is an arithmetic number, because the mean of its divisors is an integer number (217712994768).

Almost surely, 222214311341222 is an apocalyptic number.

22214311341222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22214311341222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31350671246592).

22214311341222 is an abundant number, since it is smaller than the sum of its proper divisors (40487031151962).

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

22214311341222 is a wasteful number, since it uses less digits than its factorization.

22214311341222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098604 (or 1098584 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 2221431 and 1341222, that added together give a palindrome (3562653).

The spelling of 22214311341222 in words is "twenty-two trillion, two hundred fourteen billion, three hundred eleven million, three hundred forty-one thousand, two hundred twenty-two".