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22312313 = 1743131233
BaseRepresentation
bin101010100011…
…1010101111001
31112222120201222
41111013111321
521202443223
62114121425
7360436322
oct125072571
945876658
1022312313
111165a631
127580275
134812a6a
142d6b449
151e5b0c8
hex1547579

22312313 has 16 divisors (see below), whose sum is σ = 24463296. Its totient is φ = 20267520.

The previous prime is 22312307. The next prime is 22312319. The reversal of 22312313 is 31321322.

It is an interprime number because it is at equal distance from previous prime (22312307) and next prime (22312319).

It is a cyclic number.

It is not a de Polignac number, because 22312313 - 212 = 22308217 is a prime.

It is a super-3 number, since 3×223123133 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22312291 and 22312300.

It is not an unprimeable number, because it can be changed into a prime (22312319) 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, 95645 + ... + 95877.

It is an arithmetic number, because the mean of its divisors is an integer number (1528956).

Almost surely, 222312313 is an apocalyptic number.

It is an amenable number.

22312313 is a deficient number, since it is larger than the sum of its proper divisors (2150983).

22312313 is a wasteful number, since it uses less digits than its factorization.

22312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424.

The product of its digits is 216, while the sum is 17.

The square root of 22312313 is about 4723.5911127023. The cubic root of 22312313 is about 281.5236370251.

Adding to 22312313 its reverse (31321322), we get a palindrome (53633635).

Subtracting 22312313 from its reverse (31321322), we obtain a palindrome (9009009).

The spelling of 22312313 in words is "twenty-two million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 17 43 131 233 731 2227 3961 5633 10019 30523 95761 170323 518891 1312489 22312313