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93141200 = 2452232853
BaseRepresentation
bin1011000110100…
…11100011010000
320111021001201002
411203103203100
5142321004300
613124201132
72210454455
oct543234320
9214231632
1093141200
11486373a9
12272391a8
13163b1949
14c52782c
15829c5d5
hex58d38d0

93141200 has 30 divisors (see below), whose sum is σ = 223772694. Its totient is φ = 37256320.

The previous prime is 93141197. The next prime is 93141203. The reversal of 93141200 is 214139.

It is an interprime number because it is at equal distance from previous prime (93141197) and next prime (93141203).

It can be written as a sum of positive squares in 3 ways, for example, as 29333056 + 63808144 = 5416^2 + 7988^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93141203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116027 + ... + 116826.

Almost surely, 293141200 is an apocalyptic number.

It is an amenable number.

93141200 is an abundant number, since it is smaller than the sum of its proper divisors (130631494).

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

93141200 is a wasteful number, since it uses less digits than its factorization.

93141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232871 (or 232860 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 93141200 is about 9650.9688632800. The cubic root of 93141200 is about 453.2946670212.

Adding to 93141200 its reverse (214139), we get a palindrome (93355339).

The spelling of 93141200 in words is "ninety-three million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 232853 465706 931412 1164265 1862824 2328530 3725648 4657060 5821325 9314120 11642650 18628240 23285300 46570600 93141200