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214050100 = 225211194591
BaseRepresentation
bin11001100001000…
…10010100110100
3112220202212112111
430300202110310
5414244100400
633123500404
75206252525
oct1460422464
9486685474
10214050100
11aa90a010
125b827704
1335466484
14205dc84c
1513bd23ba
hexcc22534

214050100 has 36 divisors (see below), whose sum is σ = 506717568. Its totient is φ = 77836000.

The previous prime is 214050061. The next prime is 214050101. The reversal of 214050100 is 1050412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214050101) 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 11 ways as a sum of consecutive naturals, for example, 96196 + ... + 98395.

It is an arithmetic number, because the mean of its divisors is an integer number (14075488).

Almost surely, 2214050100 is an apocalyptic number.

214050100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214050100 is an abundant number, since it is smaller than the sum of its proper divisors (292667468).

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

214050100 is a wasteful number, since it uses less digits than its factorization.

214050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194616 (or 194609 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 214050100 is about 14630.4511208643. The cubic root of 214050100 is about 598.1890767979.

The spelling of 214050100 in words is "two hundred fourteen million, fifty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 194591 389182 778364 972955 1945910 2140501 3891820 4281002 4864775 8562004 9729550 10702505 19459100 21405010 42810020 53512525 107025050 214050100