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213413144 = 2375476967
BaseRepresentation
bin11001011100001…
…10110100011000
3112212120111210112
430232012310120
5414113210034
633102103452
75200660520
oct1456066430
9485514715
10213413144
11aa5144aa
125b57ab88
13352a2589
14204b4680
1513b087ce
hexcb86d18

213413144 has 32 divisors (see below), whose sum is σ = 458215680. Its totient is φ = 91282464.

The previous prime is 213413119. The next prime is 213413201. The reversal of 213413144 is 441314312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27149 + ... + 34115.

It is an arithmetic number, because the mean of its divisors is an integer number (14319240).

Almost surely, 2213413144 is an apocalyptic number.

It is an amenable number.

213413144 is an abundant number, since it is smaller than the sum of its proper divisors (244802536).

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

213413144 is a wasteful number, since it uses less digits than its factorization.

213413144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7527 (or 7523 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 213413144 is about 14608.6667427250. Note that the first 3 decimals coincide. The cubic root of 213413144 is about 597.5951368967.

Adding to 213413144 its reverse (441314312), we get a palindrome (654727456).

The spelling of 213413144 in words is "two hundred thirteen million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 547 1094 2188 3829 4376 6967 7658 13934 15316 27868 30632 48769 55736 97538 195076 390152 3810949 7621898 15243796 26676643 30487592 53353286 106706572 213413144