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105225440 = 255657659
BaseRepresentation
bin1100100010110…
…01110011100000
321100000000011112
412101121303200
5203414203230
614235202452
72415254465
oct621316340
9240000145
10105225440
1154440481
122b2a6428
1318a53098
14dd9166c
159387d95
hex6459ce0

105225440 has 24 divisors (see below), whose sum is σ = 248595480. Its totient is φ = 42090112.

The previous prime is 105225431. The next prime is 105225451. The reversal of 105225440 is 44522501.

It is a happy number.

It is a super-2 number, since 2×1052254402 = 22144786446387200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 328670 + ... + 328989.

It is an arithmetic number, because the mean of its divisors is an integer number (10358145).

Almost surely, 2105225440 is an apocalyptic number.

105225440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105225440 is an abundant number, since it is smaller than the sum of its proper divisors (143370040).

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

105225440 is an equidigital number, since it uses as much as digits as its factorization.

105225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657674 (or 657666 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 105225440 is about 10257.9452133456. The cubic root of 105225440 is about 472.1067937994.

Adding to 105225440 its reverse (44522501), we get a palindrome (149747941).

The spelling of 105225440 in words is "one hundred five million, two hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 657659 1315318 2630636 3288295 5261272 6576590 10522544 13153180 21045088 26306360 52612720 105225440