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102226032 = 24321741759
BaseRepresentation
bin1100001011111…
…01100001110000
321010100121202100
412011331201300
5202132213112
614051020400
72350623036
oct605754160
9233317670
10102226032
1152781a27
122a29a700
1318242a9c
14d810556
158e942dc
hex617d870

102226032 has 60 divisors (see below), whose sum is σ = 302927040. Its totient is φ = 32070144.

The previous prime is 102226031. The next prime is 102226051. The reversal of 102226032 is 230622201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102225996 and 102226014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102226031) 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 11 ways as a sum of consecutive naturals, for example, 18432 + ... + 23327.

It is an arithmetic number, because the mean of its divisors is an integer number (5048784).

Almost surely, 2102226032 is an apocalyptic number.

102226032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102226032 is an abundant number, since it is smaller than the sum of its proper divisors (200701008).

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

102226032 is a wasteful number, since it uses less digits than its factorization.

102226032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41790 (or 41781 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102226032 is about 10110.6889972939. The cubic root of 102226032 is about 467.5777475621.

Adding to 102226032 its reverse (230622201), we get a palindrome (332848233).

The spelling of 102226032 in words is "one hundred two million, two hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 41759 83518 125277 167036 250554 334072 375831 501108 668144 709903 751662 1002216 1419806 1503324 2004432 2129709 2839612 3006648 4259418 5679224 6013296 6389127 8518836 11358448 12778254 17037672 25556508 34075344 51113016 102226032