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214411040 = 2551340069
BaseRepresentation
bin11001100011110…
…10011100100000
3112221110012122122
430301322130200
5414342123130
633135323412
75212315034
oct1461723440
9487405578
10214411040
11100036208
125b980568
133556184c
14206941c4
1513c542e5
hexcc7a720

214411040 has 24 divisors (see below), whose sum is σ = 506546460. Its totient is φ = 85764352.

The previous prime is 214410997. The next prime is 214411051. The reversal of 214411040 is 40114412.

It can be written as a sum of positive squares in 2 ways, for example, as 208860304 + 5550736 = 14452^2 + 2356^2 .

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 3 ways as a sum of consecutive naturals, for example, 669875 + ... + 670194.

Almost surely, 2214411040 is an apocalyptic number.

214411040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214411040 is an abundant number, since it is smaller than the sum of its proper divisors (292135420).

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

214411040 is a wasteful number, since it uses less digits than its factorization.

214411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340084 (or 1340076 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 214411040 is about 14642.7811565973. The cubic root of 214411040 is about 598.5251182511.

Adding to 214411040 its reverse (40114412), we get a palindrome (254525452).

The spelling of 214411040 in words is "two hundred fourteen million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1340069 2680138 5360276 6700345 10720552 13400690 21441104 26801380 42882208 53602760 107205520 214411040