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213844007 = 13131199631
BaseRepresentation
bin11001011111100…
…00000000100111
3112220101101211102
430233300000213
5414221002012
633115230315
75204433626
oct1457600047
9486341742
10213844007
11aa789193
125b74839b
13353c3720
14205876bd
1513b912c2
hexcbf0027

213844007 has 16 divisors (see below), whose sum is σ = 233587200. Its totient is φ = 194594400.

The previous prime is 213843991. The next prime is 213844009. The reversal of 213844007 is 700448312.

It is not a de Polignac number, because 213844007 - 24 = 213843991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213844009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 338582 + ... + 339212.

It is an arithmetic number, because the mean of its divisors is an integer number (14599200).

Almost surely, 2213844007 is an apocalyptic number.

213844007 is a deficient number, since it is larger than the sum of its proper divisors (19743193).

213844007 is a wasteful number, since it uses less digits than its factorization.

213844007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 213844007 is about 14623.4061353708. The cubic root of 213844007 is about 597.9970311520.

The spelling of 213844007 in words is "two hundred thirteen million, eight hundred forty-four thousand, seven".

Divisors: 1 13 131 199 631 1703 2587 8203 26069 82661 125569 338897 1074593 1632397 16449539 213844007