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214402240 = 2651351539
BaseRepresentation
bin11001100011110…
…00010011000000
3112221102202120201
430301320103000
5414341332430
633135214544
75212250263
oct1461702300
9487382521
10214402240
1110002a638
125b977454
133555a840
1420690cda
1513c518ca
hexcc784c0

214402240 has 56 divisors (see below), whose sum is σ = 549828720. Its totient is φ = 79162368.

The previous prime is 214402219. The next prime is 214402247. The reversal of 214402240 is 42204412.

It is not an unprimeable number, because it can be changed into a prime (214402247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21610 + ... + 29929.

It is an arithmetic number, because the mean of its divisors is an integer number (9818370).

Almost surely, 2214402240 is an apocalyptic number.

214402240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214402240 is an abundant number, since it is smaller than the sum of its proper divisors (335426480).

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

214402240 is a wasteful number, since it uses less digits than its factorization.

214402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51569 (or 51559 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 214402240 is about 14642.4806641498. The cubic root of 214402240 is about 598.5169297842.

Adding to 214402240 its reverse (42204412), we get a palindrome (256606652).

The spelling of 214402240 in words is "two hundred fourteen million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 51539 103078 206156 257695 412312 515390 670007 824624 1030780 1340014 1649248 2061560 2680028 3298496 3350035 4123120 5360056 6700070 8246240 10720112 13400140 16492480 21440224 26800280 42880448 53600560 107201120 214402240