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102214368 = 2532354911
BaseRepresentation
bin1100001011110…
…10101011100000
321010100000202100
412011322223200
5202131324433
614050450400
72350544034
oct605725340
9233300670
10102214368
1152774193
122a293a00
131823a699
14d80a1c4
158e90b13
hex617aae0

102214368 has 36 divisors (see below), whose sum is σ = 290672928. Its totient is φ = 34071360.

The previous prime is 102214367. The next prime is 102214391. The reversal of 102214368 is 863412201.

102214368 is a `hidden beast` number, since 1 + 0 + 221 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102214361) 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 5 ways as a sum of consecutive naturals, for example, 177168 + ... + 177743.

It is an arithmetic number, because the mean of its divisors is an integer number (8074248).

Almost surely, 2102214368 is an apocalyptic number.

102214368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102214368 is an abundant number, since it is smaller than the sum of its proper divisors (188458560).

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

102214368 is a wasteful number, since it uses less digits than its factorization.

102214368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354927 (or 354916 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 102214368 is about 10110.1121655499. The cubic root of 102214368 is about 467.5599633305.

Adding to 102214368 its reverse (863412201), we get a palindrome (965626569).

The spelling of 102214368 in words is "one hundred two million, two hundred fourteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 354911 709822 1064733 1419644 2129466 2839288 3194199 4258932 5678576 6388398 8517864 11357152 12776796 17035728 25553592 34071456 51107184 102214368