Search a number
-
+
332300020 = 225131775181
BaseRepresentation
bin10011110011100…
…111111011110100
3212011021120221011
4103303213323310
51140032100040
652550202004
711143334503
oct2363477364
9764246834
10332300020
11160635a18
1293353304
1353ac9940
14321c083a
151e28e3ea
hex13ce7ef4

332300020 has 48 divisors (see below), whose sum is σ = 795726288. Its totient is φ = 115476480.

The previous prime is 332299993. The next prime is 332300027. The reversal of 332300020 is 20003233.

It can be written as a sum of positive squares in 8 ways, for example, as 1205604 + 331094416 = 1098^2 + 18196^2 .

It is a super-2 number, since 2×3323000202 = 220846606584000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332300027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33171 + ... + 42010.

It is an arithmetic number, because the mean of its divisors is an integer number (16577631).

Almost surely, 2332300020 is an apocalyptic number.

It is an amenable number.

332300020 is an abundant number, since it is smaller than the sum of its proper divisors (463426268).

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

332300020 is a wasteful number, since it uses less digits than its factorization.

332300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75220 (or 75218 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 332300020 is about 18229.0981674903. The cubic root of 332300020 is about 692.6440732963.

Adding to 332300020 its reverse (20003233), we get a palindrome (352303253).

The spelling of 332300020 in words is "three hundred thirty-two million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 75181 150362 300724 375905 751810 977353 1278077 1503620 1954706 2556154 3909412 4886765 5112308 6390385 9773530 12780770 16615001 19547060 25561540 33230002 66460004 83075005 166150010 332300020