Search a number
-
+
203311820 = 22583122477
BaseRepresentation
bin11000001111001…
…00101011001100
3112011120022101102
430013210223030
5404021434240
632101402232
75016056555
oct1407445314
9464508342
10203311820
11a48451a8
1258109378
133317686a
141d00532c
1512cb0815
hexc1e4acc

203311820 has 24 divisors (see below), whose sum is σ = 432102384. Its totient is φ = 80344256.

The previous prime is 203311813. The next prime is 203311847. The reversal of 203311820 is 28113302.

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 = 203311792 and 203311801.

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 7 ways as a sum of consecutive naturals, for example, 59579 + ... + 62898.

It is an arithmetic number, because the mean of its divisors is an integer number (18004266).

Almost surely, 2203311820 is an apocalyptic number.

203311820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203311820 is an abundant number, since it is smaller than the sum of its proper divisors (228790564).

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

203311820 is a wasteful number, since it uses less digits than its factorization.

203311820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122569 (or 122567 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 203311820 is about 14258.7453866040. The cubic root of 203311820 is about 588.0138326454.

The spelling of 203311820 in words is "two hundred three million, three hundred eleven thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 83 166 332 415 830 1660 122477 244954 489908 612385 1224770 2449540 10165591 20331182 40662364 50827955 101655910 203311820