Search a number
-
+
110222992 = 24112373373
BaseRepresentation
bin1101001000111…
…01111010010000
321200101220112001
412210131322100
5211204113432
614534243344
72505610555
oct644357220
9250356461
10110222992
1157244190
1230ab6554
1319ab2a09
14108d2a2c
159a239e7
hex691de90

110222992 has 80 divisors (see below), whose sum is σ = 247091328. Its totient is φ = 47139840.

The previous prime is 110222989. The next prime is 110222993. The reversal of 110222992 is 299222011.

It is a super-3 number, since 3×1102229923 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 110222992.

It is not an unprimeable number, because it can be changed into a prime (110222993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295318 + ... + 295690.

Almost surely, 2110222992 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 110222992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123545664).

110222992 is an abundant number, since it is smaller than the sum of its proper divisors (136868336).

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

110222992 is a wasteful number, since it uses less digits than its factorization.

110222992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 110222992 is about 10498.7138259884. The cubic root of 110222992 is about 479.4655393798.

The spelling of 110222992 in words is "one hundred ten million, two hundred twenty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 23 44 46 73 88 92 146 176 184 253 292 368 373 506 584 746 803 1012 1168 1492 1606 1679 2024 2984 3212 3358 4048 4103 5968 6424 6716 8206 8579 12848 13432 16412 17158 18469 26864 27229 32824 34316 36938 54458 65648 68632 73876 94369 108916 137264 147752 188738 217832 295504 299519 377476 435664 599038 626267 754952 1198076 1252534 1509904 2396152 2505068 4792304 5010136 6888937 10020272 13777874 27555748 55111496 110222992