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214413420 = 223513274889
BaseRepresentation
bin11001100011110…
…11000001101100
3112221110022220210
430301323001230
5414342212140
633135342420
75212325004
oct1461730154
9487408823
10214413420
11100037a81
125b981a10
1335562960
1420695004
1513c54d80
hexcc7b06c

214413420 has 48 divisors (see below), whose sum is σ = 646541280. Its totient is φ = 52778496.

The previous prime is 214413413. The next prime is 214413431. The reversal of 214413420 is 24314412.

214413420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2144134202 = 91946229352192800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136665 + ... + 138224.

It is an arithmetic number, because the mean of its divisors is an integer number (13469610).

Almost surely, 2214413420 is an apocalyptic number.

214413420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214413420 is an abundant number, since it is smaller than the sum of its proper divisors (432127860).

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

214413420 is a wasteful number, since it uses less digits than its factorization.

214413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274914 (or 274912 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 214413420 is about 14642.8624250862. The cubic root of 214413420 is about 598.5273328207.

Adding to 214413420 its reverse (24314412), we get a palindrome (238727832).

The spelling of 214413420 in words is "two hundred fourteen million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 274889 549778 824667 1099556 1374445 1649334 2748890 3298668 3573557 4123335 5497780 7147114 8246670 10720671 14294228 16493340 17867785 21441342 35735570 42882684 53603355 71471140 107206710 214413420