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422011110224 = 241147101505117
BaseRepresentation
bin1100010010000011101…
…00101000001101010000
31111100021200100121211102
412021001310220031100
523403234321011344
6521511430403532
742326554152014
oct6110164501520
91440250317742
10422011110224
11152a792a7290
12699568005a8
1330a45880312
14165d55d6544
15ae9debde4e
hex6241d28350

422011110224 has 80 divisors (see below), whose sum is σ = 919977474816. Its totient is φ = 185882688000.

The previous prime is 422011110211. The next prime is 422011110253.

422011110224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422011110196 and 422011110205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582914 + ... + 1088030.

Almost surely, 2422011110224 is an apocalyptic number.

422011110224 is a gapful number since it is divisible by the number (44) 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 422011110224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459988737408).

422011110224 is an abundant number, since it is smaller than the sum of its proper divisors (497966364592).

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

422011110224 is a wasteful number, since it uses less digits than its factorization.

422011110224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505284 (or 505278 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 422011 and 110224, that added together give a palindrome (532235).

The spelling of 422011110224 in words is "four hundred twenty-two billion, eleven million, one hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 101 176 188 202 376 404 517 752 808 1034 1111 1616 2068 2222 4136 4444 4747 8272 8888 9494 17776 18988 37976 52217 75952 104434 208868 417736 505117 835472 1010234 2020468 4040936 5556287 8081872 11112574 22225148 23740499 44450296 47480998 51016817 88900592 94961996 102033634 189923992 204067268 261145489 379847984 408134536 522290978 561184987 816269072 1044581956 1122369974 2089163912 2244739948 2397790399 4178327824 4489479896 4795580798 8978959792 9591161596 19182323192 26375694389 38364646384 52751388778 105502777556 211005555112 422011110224