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22210022002112 = 267435881196043
BaseRepresentation
bin1010000110011001011000…
…11110001100110111000000
32220122020221121202111110122
411003030230132030313000
510402342111113031422
6115123050535315412
74451423023054010
oct503145436146700
986566847674418
1022210022002112
11709324345159a
1225a854b51bb68
13c5151c289229
1456ad83c3bc40
15287b0108ed42
hex14332c78cdc0

22210022002112 has 112 divisors (see below), whose sum is σ = 51549559640832. Its totient is φ = 9295590205440.

The previous prime is 22210022002043. The next prime is 22210022002163. The reversal of 22210022002112 is 21120022001222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 113193563 + ... + 113389605.

Almost surely, 222210022002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22210022002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25774779820416).

22210022002112 is an abundant number, since it is smaller than the sum of its proper divisors (29339537638720).

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

22210022002112 is a wasteful number, since it uses less digits than its factorization.

22210022002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201986 (or 201976 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22210022002112 its reverse (21120022001222), we get a palindrome (43330044003334).

The spelling of 22210022002112 in words is "twenty-two trillion, two hundred ten billion, twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 2408 2752 4816 5881 9632 11762 19264 23524 41167 47048 82334 94096 164668 188192 196043 252883 329336 376384 392086 505766 658672 784172 1011532 1317344 1372301 1568344 1770181 2023064 2634688 2744602 3136688 3540362 4046128 5489204 6273376 7080724 8092256 8429849 10978408 12546752 14161448 16184512 16859698 21956816 28322896 33719396 43913632 56645792 59008943 67438792 87827264 113291584 118017886 134877584 236035772 269755168 472071544 539510336 944143088 1152928883 1888286176 2305857766 3776572352 4611715532 8070502181 9223431064 16141004362 18446862128 32282008724 36893724256 49575941969 64564017448 73787448512 99151883938 129128034896 198303767876 258256069792 347031593783 396607535752 516512139584 694063187566 793215071504 1388126375132 1586430143008 2776252750264 3172860286016 5552505500528 11105011001056 22210022002112