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103222164 = 22317539547
BaseRepresentation
bin1100010011100…
…00101110010100
321012020020012010
412021300232110
5202411102124
614124224220
72362242153
oct611605624
9235206163
10103222164
11532a2381
122a69b070
1318501306
14d9cd59a
1590de529
hex6270b94

103222164 has 48 divisors (see below), whose sum is σ = 259858368. Its totient is φ = 31769088.

The previous prime is 103222159. The next prime is 103222169. The reversal of 103222164 is 461222301.

It is an interprime number because it is at equal distance from previous prime (103222159) and next prime (103222169).

It is a self number, because there is not a number n which added to its sum of digits gives 103222164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103222169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6039 + ... + 15585.

It is an arithmetic number, because the mean of its divisors is an integer number (5413716).

Almost surely, 2103222164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103222164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129929184).

103222164 is an abundant number, since it is smaller than the sum of its proper divisors (156636204).

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

103222164 is a wasteful number, since it uses less digits than its factorization.

103222164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9624 (or 9622 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 103222164 is about 10159.8309041047. The cubic root of 103222164 is about 469.0915968354.

Adding to 103222164 its reverse (461222301), we get a palindrome (564444465).

The spelling of 103222164 in words is "one hundred three million, two hundred twenty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 901 1802 2703 3604 5406 9547 10812 19094 28641 38188 57282 114564 162299 324598 486897 505991 649196 973794 1011982 1517973 1947588 2023964 3035946 6071892 8601847 17203694 25805541 34407388 51611082 103222164