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206149344 = 25317126317
BaseRepresentation
bin11000100100110…
…01011011100000
3112100220110201220
430102121123200
5410233234334
632242255040
75052145332
oct1422313340
9470813656
10206149344
11a6403065
1259057480
133392b27b
141d543452
1513171449
hexc4996e0

206149344 has 48 divisors (see below), whose sum is σ = 572978448. Its totient is φ = 64673792.

The previous prime is 206149343. The next prime is 206149357. The reversal of 206149344 is 443941602.

206149344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206149343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61527 + ... + 64790.

It is an arithmetic number, because the mean of its divisors is an integer number (11937051).

Almost surely, 2206149344 is an apocalyptic number.

206149344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

206149344 is an abundant number, since it is smaller than the sum of its proper divisors (366829104).

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

206149344 is a wasteful number, since it uses less digits than its factorization.

206149344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126347 (or 126339 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 206149344 is about 14357.9017965718. The cubic root of 206149344 is about 590.7367450503.

The spelling of 206149344 in words is "two hundred six million, one hundred forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 126317 252634 378951 505268 757902 1010536 1515804 2021072 2147389 3031608 4042144 4294778 6063216 6442167 8589556 12126432 12884334 17179112 25768668 34358224 51537336 68716448 103074672 206149344