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214241100 = 223523719301
BaseRepresentation
bin11001100010100…
…00111101001100
3112221010120112120
430301100331030
5414321203400
633131532540
75211006423
oct1461207514
9487116476
10214241100
11aaa2a567
125b8ba150
13355023a8
142064c2ba
1513c1dca0
hexcc50f4c

214241100 has 72 divisors (see below), whose sum is σ = 636657168. Its totient is φ = 55584000.

The previous prime is 214241081. The next prime is 214241147. The reversal of 214241100 is 1142412.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 214241100.

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 23 ways as a sum of consecutive naturals, for example, 1450 + ... + 20750.

Almost surely, 2214241100 is an apocalyptic number.

214241100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318328584).

214241100 is an abundant number, since it is smaller than the sum of its proper divisors (422416068).

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

214241100 is a wasteful number, since it uses less digits than its factorization.

214241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19355 (or 19348 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 214241100 is about 14636.9771469385. The cubic root of 214241100 is about 598.3669481575.

Adding to 214241100 its reverse (1142412), we get a palindrome (215383512).

The spelling of 214241100 in words is "two hundred fourteen million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 19301 38602 57903 77204 96505 115806 193010 231612 289515 386020 482525 579030 714137 965050 1158060 1428274 1447575 1930100 2142411 2856548 2895150 3570685 4284822 5790300 7141370 8569644 10712055 14282740 17853425 21424110 35706850 42848220 53560275 71413700 107120550 214241100