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214423920 = 24325297811
BaseRepresentation
bin11001100011111…
…01100101110000
3112221110212022200
430301331211300
5414343031140
633135503200
75212400424
oct1461754560
9487425280
10214423920
11100044957
125b987b00
1335567679
1420698b84
1513c58030
hexcc7d970

214423920 has 60 divisors (see below), whose sum is σ = 720109416. Its totient is φ = 57179520.

The previous prime is 214423903. The next prime is 214423927. The reversal of 214423920 is 29324412.

214423920 is a `hidden beast` number, since 214 + 423 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214423927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148186 + ... + 149625.

Almost surely, 2214423920 is an apocalyptic number.

214423920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214423920 is an abundant number, since it is smaller than the sum of its proper divisors (505685496).

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

214423920 is a wasteful number, since it uses less digits than its factorization.

214423920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297830 (or 297821 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 214423920 is about 14643.2209571528. The cubic root of 214423920 is about 598.5371027850.

The spelling of 214423920 in words is "two hundred fourteen million, four hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 297811 595622 893433 1191244 1489055 1786866 2382488 2680299 2978110 3573732 4467165 4764976 5360598 5956220 7147464 8934330 10721196 11912440 13401495 14294928 17868660 21442392 23824880 26802990 35737320 42884784 53605980 71474640 107211960 214423920