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2212431 = 313174771
BaseRepresentation
bin1000011100001001001111
311011101212220
420130021033
51031244211
6115230423
724543144
oct10341117
94141786
102212431
111281261
128a8413
135c6040
144183cb
152da806
hex21c24f

2212431 has 32 divisors (see below), whose sum is σ = 3483648. Its totient is φ = 1236480.

The previous prime is 2212429. The next prime is 2212433. The reversal of 2212431 is 1342122.

It is an interprime number because it is at equal distance from previous prime (2212429) and next prime (2212433).

It is not a de Polignac number, because 2212431 - 21 = 2212429 is a prime.

It is a super-2 number, since 2×22124312 = 9789701859522, which contains 22 as substring.

2212431 is a modest number, since divided by 2431 gives 221 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2212431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31126 + ... + 31196.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

22212431 is an apocalyptic number.

2212431 is a deficient number, since it is larger than the sum of its proper divisors (1271217).

2212431 is a wasteful number, since it uses less digits than its factorization.

2212431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151.

The product of its digits is 96, while the sum is 15.

The square root of 2212431 is about 1487.4242837872. The cubic root of 2212431 is about 130.3036491697.

Adding to 2212431 its reverse (1342122), we get a palindrome (3554553).

It can be divided in two parts, 22124 and 31, that added together give a triangular number (22155 = T210).

The spelling of 2212431 in words is "two million, two hundred twelve thousand, four hundred thirty-one".

Divisors: 1 3 13 17 39 47 51 71 141 213 221 611 663 799 923 1207 1833 2397 2769 3337 3621 10011 10387 15691 31161 43381 47073 56729 130143 170187 737477 2212431