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106224252 = 22313216701
BaseRepresentation
bin1100101010011…
…01101001111100
321101212202021120
412111031221330
5204143134002
614312430540
72426614461
oct625155174
9241782246
10106224252
1154a62942
122b6a8450
13190128b4
1410171668
1594d3cbc
hex654da7c

106224252 has 24 divisors (see below), whose sum is σ = 248081232. Its totient is φ = 35376000.

The previous prime is 106224247. The next prime is 106224257. The reversal of 106224252 is 252422601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (106224247) and next prime (106224257).

It is a super-2 number, since 2×1062242522 = 22567183425919008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106224257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12502 + ... + 19202.

It is an arithmetic number, because the mean of its divisors is an integer number (10336718).

Almost surely, 2106224252 is an apocalyptic number.

106224252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106224252 is an abundant number, since it is smaller than the sum of its proper divisors (141856980).

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

106224252 is a wasteful number, since it uses less digits than its factorization.

106224252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 106224252 is about 10306.5150269138. The cubic root of 106224252 is about 473.5958562666.

Adding to 106224252 its reverse (252422601), we get a palindrome (358646853).

The spelling of 106224252 in words is "one hundred six million, two hundred twenty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 1321 2642 3963 5284 6701 7926 13402 15852 20103 26804 40206 80412 8852021 17704042 26556063 35408084 53112126 106224252