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214323440200 = 23523373179873
BaseRepresentation
bin1100011110011010101…
…1000010101001001000
3202111012120100211121121
43013212223002221020
512002413300041300
6242243035045024
721325064116612
oct3074653025110
9674176324547
10214323440200
1182991aa3891
12356545a0774
131729794508c
14a53250ddb2
155895b9681a
hex31e6ac2a48

214323440200 has 48 divisors (see below), whose sum is σ = 499780796580. Its totient is φ = 85474959360.

The previous prime is 214323440173. The next prime is 214323440257. The reversal of 214323440200 is 2044323412.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 131677539876 + 82645900324 = 362874^2 + 287482^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1522537 + ... + 1657336.

Almost surely, 2214323440200 is an apocalyptic number.

214323440200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214323440200 is an abundant number, since it is smaller than the sum of its proper divisors (285457356380).

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

214323440200 is a wasteful number, since it uses less digits than its factorization.

214323440200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180226 (or 3180217 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 214323440200 its reverse (2044323412), we get a palindrome (216367763612).

The spelling of 214323440200 in words is "two hundred fourteen billion, three hundred twenty-three million, four hundred forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 337 674 1348 1685 2696 3370 6740 8425 13480 16850 33700 67400 3179873 6359746 12719492 15899365 25438984 31798730 63597460 79496825 127194920 158993650 317987300 635974600 1071617201 2143234402 4286468804 5358086005 8572937608 10716172010 21432344020 26790430025 42864688040 53580860050 107161720100 214323440200