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1105226112 = 27337107727
BaseRepresentation
bin100000111100000…
…0110100110000000
32212000200022012110
41001320012212000
54230414213422
6301400455320
736250160364
oct10170064600
92760608173
101105226112
11517964811
1226a17a540
13147c90663
14a6add2a4
156706960c
hex41e06980

1105226112 has 128 divisors (see below), whose sum is σ = 3047466240. Its totient is φ = 354613248.

The previous prime is 1105226099. The next prime is 1105226131. The reversal of 1105226112 is 2116225011.

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

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, 1519893 + ... + 1520619.

It is an arithmetic number, because the mean of its divisors is an integer number (23808330).

Almost surely, 21105226112 is an apocalyptic number.

1105226112 is a gapful number since it is divisible by the number (12) 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 1105226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523733120).

1105226112 is an abundant number, since it is smaller than the sum of its proper divisors (1942240128).

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

1105226112 is a wasteful number, since it uses less digits than its factorization.

1105226112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1105226112 is about 33244.9411489929. The cubic root of 1105226112 is about 1033.9123246610.

The spelling of 1105226112 in words is "one billion, one hundred five million, two hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 107 111 128 148 192 214 222 296 321 384 428 444 592 642 727 856 888 1184 1284 1454 1712 1776 2181 2368 2568 2908 3424 3552 3959 4362 4736 5136 5816 6848 7104 7918 8724 10272 11632 11877 13696 14208 15836 17448 20544 23264 23754 26899 31672 34896 41088 46528 47508 53798 63344 69792 77789 80697 93056 95016 107596 126688 139584 155578 161394 190032 215192 233367 253376 279168 311156 322788 380064 430384 466734 506752 622312 645576 760128 860768 933468 1244624 1291152 1520256 1721536 1866936 2489248 2582304 2878193 3443072 3733872 4978496 5164608 5756386 7467744 8634579 9956992 10329216 11512772 14935488 17269158 23025544 29870976 34538316 46051088 69076632 92102176 138153264 184204352 276306528 368408704 552613056 1105226112