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22240322304222 = 23113716095660299
BaseRepresentation
bin1010000111010001110101…
…00000101011100011011110
32220202011011022010022220010
411003220322200223203132
510403341140002213342
6115145021340104050
74453544630301141
oct503507240534336
986664138108803
1022240322304222
1170a5082155a90
1225b23a6b35026
13c5433a926789
1456c61a0d8058
152887c623729c
hex143a3a82b8de

22240322304222 has 64 divisors (see below), whose sum is σ = 49866790176000. Its totient is φ = 6553266612480.

The previous prime is 22240322304199. The next prime is 22240322304223.

It is a happy number.

22240322304222 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 22240322304222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22240322304223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1099029 + ... + 6759327.

It is an arithmetic number, because the mean of its divisors is an integer number (779168596500).

Almost surely, 222240322304222 is an apocalyptic number.

22240322304222 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 22240322304222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24933395088000).

22240322304222 is an abundant number, since it is smaller than the sum of its proper divisors (27626467871778).

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

22240322304222 is a wasteful number, since it uses less digits than its factorization.

22240322304222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5661961.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 2224032 and 2304222, that added together give a palindrome (4528254).

The spelling of 22240322304222 in words is "twenty-two trillion, two hundred forty billion, three hundred twenty-two million, three hundred four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 1609 2442 3218 4827 9654 17699 35398 53097 59533 106194 119066 178599 357198 654863 1309726 1964589 3929178 5660299 11320598 16980897 33961794 62263289 124526578 186789867 209431063 373579734 418862126 628293189 1256586378 2303741693 4607483386 6911225079 9107421091 13822450158 18214842182 27322263273 54644526546 100181632001 200363264002 300544896003 336974580367 601089792006 673949160734 1010923741101 2021847482202 3706720384037 7413440768074 11120161152111 22240322304222