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214279900 = 225217126047
BaseRepresentation
bin11001100010110…
…10011011011100
3112221012112202121
430301122123130
5414323424100
633132432324
75211230512
oct1461323334
9487175677
10214279900
11aaa5672a
125b9186a4
1335516c53
142065c4b2
1513c2a51a
hexcc5a6dc

214279900 has 36 divisors (see below), whose sum is σ = 492343488. Its totient is φ = 80669440.

The previous prime is 214279867. The next prime is 214279907. The reversal of 214279900 is 9972412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214279907) 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, 61324 + ... + 64723.

It is an arithmetic number, because the mean of its divisors is an integer number (13676208).

Almost surely, 2214279900 is an apocalyptic number.

214279900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214279900 is an abundant number, since it is smaller than the sum of its proper divisors (278063588).

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

214279900 is a wasteful number, since it uses less digits than its factorization.

214279900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126078 (or 126071 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 214279900 is about 14638.3024972160. The cubic root of 214279900 is about 598.4030682674.

The spelling of 214279900 in words is "two hundred fourteen million, two hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 126047 252094 504188 630235 1260470 2142799 2520940 3151175 4285598 6302350 8571196 10713995 12604700 21427990 42855980 53569975 107139950 214279900