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22113201062272 = 271983191573557
BaseRepresentation
bin1010000011100101000010…
…11111101000000110000000
32220022000001000002010220211
411001302201133220012000
510344300313432443042
6115010355254443504
74441424510463325
oct501624137500600
986260030063824
1022113201062272
117056179567441
12259182a363594
13c4535c296198
145663db0b4b4c
15285335eb9017
hex141ca17e8180

22113201062272 has 128 divisors (see below), whose sum is σ = 47176751462400. Its totient is φ = 10294274856960.

The previous prime is 22113201062237. The next prime is 22113201062273. The reversal of 22113201062272 is 27226010231122.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×221132010622722 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113201062273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38267718 + ... + 38841274.

It is an arithmetic number, because the mean of its divisors is an integer number (368568370800).

Almost surely, 222113201062272 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 22113201062272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23588375731200).

22113201062272 is an abundant number, since it is smaller than the sum of its proper divisors (25063550400128).

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

22113201062272 is a wasteful number, since it uses less digits than its factorization.

22113201062272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573864 (or 573852 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

Adding to 22113201062272 its reverse (27226010231122), we get a palindrome (49339211293394).

The spelling of 22113201062272 in words is "twenty-two trillion, one hundred thirteen billion, two hundred one million, sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 83 128 152 166 191 304 332 382 608 664 764 1216 1328 1528 1577 2432 2656 3056 3154 3629 5312 6112 6308 7258 10624 12224 12616 14516 15853 24448 25232 29032 31706 50464 58064 63412 100928 116128 126824 201856 232256 253648 301207 464512 507296 573557 602414 1014592 1147114 1204828 2029184 2294228 2409656 4588456 4819312 9176912 9638624 10897583 18353824 19277248 21795166 36707648 38554496 43590332 47605231 73415296 87180664 95210462 109549387 174361328 190420924 219098774 348722656 380841848 438197548 697445312 761683696 876395096 904499389 1394890624 1523367392 1752790192 1808998778 2081438353 3046734784 3505580384 3617997556 4162876706 6093469568 7011160768 7235995112 8325753412 9092599121 14022321536 14471990224 16651506824 18185198242 28943980448 33303013648 36370396484 57887960896 66606027296 72740792968 115775921792 133212054592 145481585936 172759383299 266424109184 290963171872 345518766598 581926343744 691037533196 1163852687488 1382075066392 2764150132784 5528300265568 11056600531136 22113201062272