Search a number
-
+
10842228 = 2233100391
BaseRepresentation
bin101001010111…
…000001110100
3202101211202000
4221113001310
510233422403
61024215300
7161104665
oct51270164
922354660
1010842228
116135a21
12376a530
132328027
14162336c
15e427a3
hexa57074

10842228 has 24 divisors (see below), whose sum is σ = 28109760. Its totient is φ = 3614040.

The previous prime is 10842211. The next prime is 10842229. The reversal of 10842228 is 82224801.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10842229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50088 + ... + 50303.

It is an arithmetic number, because the mean of its divisors is an integer number (1171240).

Almost surely, 210842228 is an apocalyptic number.

10842228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10842228 is an abundant number, since it is smaller than the sum of its proper divisors (17267532).

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

10842228 is a wasteful number, since it uses less digits than its factorization.

10842228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100404 (or 100396 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10842228 is about 3292.7538626505. The cubic root of 10842228 is about 221.3296065162.

It can be divided in two parts, 10842 and 228, that multiplied together give a triangular number (2471976 = T2223).

The spelling of 10842228 in words is "ten million, eight hundred forty-two thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 100391 200782 301173 401564 602346 903519 1204692 1807038 2710557 3614076 5421114 10842228