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2213144142 = 231167749531
BaseRepresentation
bin1000001111101001…
…1110011001001110
312201020102101000120
42003322132121032
514013031103032
61003335205410
7105562262166
oct20372363116
95636371016
102213144142
11a36297a50
12519216866
13293684361
1416dcdd5a6
15ce46662c
hex83e9e64e

2213144142 has 32 divisors (see below), whose sum is σ = 4835908224. Its totient is φ = 669645600.

The previous prime is 2213144137. The next prime is 2213144147. The reversal of 2213144142 is 2414413122.

It is an interprime number because it is at equal distance from previous prime (2213144137) and next prime (2213144147).

It is a super-4 number, since 4×22131441424 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213144147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19917 + ... + 69447.

It is an arithmetic number, because the mean of its divisors is an integer number (151122132).

Almost surely, 22213144142 is an apocalyptic number.

2213144142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2213144142 is an abundant number, since it is smaller than the sum of its proper divisors (2622764082).

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

2213144142 is a wasteful number, since it uses less digits than its factorization.

2213144142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50224.

The product of its digits is 1536, while the sum is 24.

The square root of 2213144142 is about 47044.0659594810. The cubic root of 2213144142 is about 1303.1764810307.

Adding to 2213144142 its reverse (2414413122), we get a palindrome (4627557264).

It can be divided in two parts, 221314 and 4142, that added together give a triangular number (225456 = T671).

The spelling of 2213144142 in words is "two billion, two hundred thirteen million, one hundred forty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 677 1354 2031 4062 7447 14894 22341 44682 49531 99062 148593 297186 544841 1089682 1634523 3269046 33532487 67064974 100597461 201194922 368857357 737714714 1106572071 2213144142