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214134200 = 23527152953
BaseRepresentation
bin11001100001101…
…10110110111000
3112220221010220022
430300312312320
5414304243300
633125350012
75210052650
oct1460666670
9486833808
10214134200
11aa967215
125b868308
1335495837
1420621360
1513bec285
hexcc36db8

214134200 has 48 divisors (see below), whose sum is σ = 568988880. Its totient is φ = 73416960.

The previous prime is 214134197. The next prime is 214134229. The reversal of 214134200 is 2431412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75077 + ... + 77876.

It is an arithmetic number, because the mean of its divisors is an integer number (11853935).

Almost surely, 2214134200 is an apocalyptic number.

214134200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214134200 is an abundant number, since it is smaller than the sum of its proper divisors (354854680).

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

214134200 is a wasteful number, since it uses less digits than its factorization.

214134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152976 (or 152967 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 214134200 is about 14633.3249810151. The cubic root of 214134200 is about 598.2674091045.

Adding to 214134200 its reverse (2431412), we get a palindrome (216565612).

The spelling of 214134200 in words is "two hundred fourteen million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 152953 305906 611812 764765 1070671 1223624 1529530 2141342 3059060 3823825 4282684 5353355 6118120 7647650 8565368 10706710 15295300 21413420 26766775 30590600 42826840 53533550 107067100 214134200