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200034920 = 23517294169
BaseRepresentation
bin10111110110001…
…00101001101000
3111221101211022202
423323010221220
5402202104140
631503235332
74646161121
oct1373045150
9457354282
10200034920
11a2a07218
1256ba8b48
133259a177
141c7d1048
1512864915
hexbec4a68

200034920 has 32 divisors (see below), whose sum is σ = 476555400. Its totient is φ = 75307008.

The previous prime is 200034917. The next prime is 200034929. The reversal of 200034920 is 29430002.

200034920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 117115684 + 82919236 = 10822^2 + 9106^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 200034892 and 200034901.

It is not an unprimeable number, because it can be changed into a prime (200034929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146405 + ... + 147764.

Almost surely, 2200034920 is an apocalyptic number.

200034920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200034920 is an abundant number, since it is smaller than the sum of its proper divisors (276520480).

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

200034920 is a wasteful number, since it uses less digits than its factorization.

200034920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294197 (or 294193 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 200034920 is about 14143.3701782849. The cubic root of 200034920 is about 584.8375812284.

Adding to 200034920 its reverse (29430002), we get a palindrome (229464922).

The spelling of 200034920 in words is "two hundred million, thirty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 294169 588338 1176676 1470845 2353352 2941690 5000873 5883380 10001746 11766760 20003492 25004365 40006984 50008730 100017460 200034920