Search a number
-
+
106224750 = 2335315737
BaseRepresentation
bin1100101010011…
…01110001101110
321101212202222000
412111031301232
5204143143000
614312433130
72426616102
oct625156156
9241782860
10106224750
1154a63255
122b6a87a6
1319012ba8
1410171902
1594d4000
hex654dc6e

106224750 has 64 divisors (see below), whose sum is σ = 294615360. Its totient is φ = 28324800.

The previous prime is 106224739. The next prime is 106224757. The reversal of 106224750 is 57422601.

It is a super-2 number, since 2×1062247502 = 22567395025125000, which contains 22 as substring.

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 (106224757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119 + ... + 14618.

It is an arithmetic number, because the mean of its divisors is an integer number (4603365).

Almost surely, 2106224750 is an apocalyptic number.

106224750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106224750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147307680).

106224750 is an abundant number, since it is smaller than the sum of its proper divisors (188390610).

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

106224750 is a wasteful number, since it uses less digits than its factorization.

106224750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15763 (or 15747 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 106224750 is about 10306.5391863612. The cubic root of 106224750 is about 473.5965963687.

The spelling of 106224750 in words is "one hundred six million, two hundred twenty-four thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 90 125 135 150 225 250 270 375 450 675 750 1125 1350 2250 3375 6750 15737 31474 47211 78685 94422 141633 157370 236055 283266 393425 424899 472110 708165 786850 849798 1180275 1416330 1967125 2124495 2360550 3540825 3934250 4248990 5901375 7081650 10622475 11802750 17704125 21244950 35408250 53112375 106224750