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214441100 = 22528272593
BaseRepresentation
bin11001100100000…
…01110010001100
3112221111201212222
430302001302030
5414344103400
633140114512
75212501466
oct1462016214
9487451788
10214441100
11100056855
125b995a38
1335572433
14206a1136
1513c5d185
hexcc81c8c

214441100 has 36 divisors (see below), whose sum is σ = 466079544. Its totient is φ = 85639680.

The previous prime is 214441099. The next prime is 214441141. The reversal of 214441100 is 1144412.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 81404 + ... + 83996.

It is an arithmetic number, because the mean of its divisors is an integer number (12946654).

Almost surely, 2214441100 is an apocalyptic number.

214441100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214441100 is an abundant number, since it is smaller than the sum of its proper divisors (251638444).

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

214441100 is a wasteful number, since it uses less digits than its factorization.

214441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3427 counting only the distinct ones).

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

The square root of 214441100 is about 14643.8075649743. The cubic root of 214441100 is about 598.5530876198.

Adding to 214441100 its reverse (1144412), we get a palindrome (215585512).

The spelling of 214441100 in words is "two hundred fourteen million, four hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 827 1654 2593 3308 4135 5186 8270 10372 12965 16540 20675 25930 41350 51860 64825 82700 129650 259300 2144411 4288822 8577644 10722055 21444110 42888220 53610275 107220550 214441100