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106224696 = 2334163927
BaseRepresentation
bin1100101010011…
…01110000111000
321101212202220000
412111031300320
5204143142241
614312433000
72426615664
oct625156070
9241782800
10106224696
1154a63206
122b6a8760
1319012b66
14101718a4
1594d3eb6
hex654dc38

106224696 has 40 divisors (see below), whose sum is σ = 297529320. Its totient is φ = 35408016.

The previous prime is 106224661. The next prime is 106224697. The reversal of 106224696 is 696422601.

It is a super-2 number, since 2×1062246962 = 22567372080584832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106224696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106224697) 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 9 ways as a sum of consecutive naturals, for example, 81316 + ... + 82611.

It is an arithmetic number, because the mean of its divisors is an integer number (7438233).

Almost surely, 2106224696 is an apocalyptic number.

It is an amenable number.

106224696 is an abundant number, since it is smaller than the sum of its proper divisors (191304624).

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

106224696 is a wasteful number, since it uses less digits than its factorization.

106224696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163945 (or 163932 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106224696 is about 10306.5365666649. The cubic root of 106224696 is about 473.5965161168.

The spelling of 106224696 in words is "one hundred six million, two hundred twenty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 163927 327854 491781 655708 983562 1311416 1475343 1967124 2950686 3934248 4426029 5901372 8852058 11802744 13278087 17704116 26556174 35408232 53112348 106224696