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200123424 = 2532694873
BaseRepresentation
bin10111110110110…
…10010000100000
3111221120022201200
423323122100200
5402212422144
631505201200
74650010134
oct1373322040
9457508650
10200123424
11a2a67766
1257030200
13325cb537
141c8153c4
1512880c69
hexbeda420

200123424 has 36 divisors (see below), whose sum is σ = 569101806. Its totient is φ = 66707712.

The previous prime is 200123401. The next prime is 200123431. The reversal of 200123424 is 424321002.

It can be written as a sum of positive squares in only one way, i.e., 169520400 + 30603024 = 13020^2 + 5532^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200123397 and 200123406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 347149 + ... + 347724.

Almost surely, 2200123424 is an apocalyptic number.

200123424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

200123424 is an abundant number, since it is smaller than the sum of its proper divisors (368978382).

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

200123424 is a wasteful number, since it uses less digits than its factorization.

200123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694889 (or 694878 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200123424 is about 14146.4986480754. The cubic root of 200123424 is about 584.9238208934.

Adding to 200123424 its reverse (424321002), we get a palindrome (624444426).

It can be divided in two parts, 20012 and 3424, that added together give a triangular number (23436 = T216).

The spelling of 200123424 in words is "two hundred million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 694873 1389746 2084619 2779492 4169238 5558984 6253857 8338476 11117968 12507714 16676952 22235936 25015428 33353904 50030856 66707808 100061712 200123424