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102226293 = 341397081
BaseRepresentation
bin1100001011111…
…01100101110101
321010100122010000
412011331211311
5202132220133
614051021513
72350623561
oct605754565
9233318100
10102226293
1152782144
122a29a899
1318242c40
14d8106a1
158e94413
hex617d975

102226293 has 20 divisors (see below), whose sum is σ = 164456908. Its totient is φ = 62907840.

The previous prime is 102226279. The next prime is 102226307. The reversal of 102226293 is 392622201.

102226293 is a `hidden beast` number, since 10 + 2 + 22 + 629 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (102226279) and next prime (102226307).

It can be written as a sum of positive squares in 2 ways, for example, as 58110129 + 44116164 = 7623^2 + 6642^2 .

It is not a de Polignac number, because 102226293 - 25 = 102226261 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102226393) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47488 + ... + 49593.

Almost surely, 2102226293 is an apocalyptic number.

102226293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102226293 is a deficient number, since it is larger than the sum of its proper divisors (62230615).

102226293 is an equidigital number, since it uses as much as digits as its factorization.

102226293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97106 (or 97097 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 102226293 is about 10110.7019044179. The cubic root of 102226293 is about 467.5781454963.

Adding to 102226293 its reverse (392622201), we get a palindrome (494848494).

The spelling of 102226293 in words is "one hundred two million, two hundred twenty-six thousand, two hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 97081 291243 873729 1262053 2621187 3786159 7863561 11358477 34075431 102226293