Search a number
-
+
203146944 = 263721113151
BaseRepresentation
bin11000001101111…
…00011011000000
3112011020221012220
430012330123000
5404001200234
632054051040
75014502100
oct1406743300
9464227186
10203146944
11a4742340
1258049a80
13331197c0
141cda1200
1512c7ba49
hexc1bc6c0

203146944 has 336 divisors, whose sum is σ = 739420416. Its totient is φ = 48384000.

The previous prime is 203146939. The next prime is 203146969. The reversal of 203146944 is 449641302.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345269 + ... + 1345419.

It is an arithmetic number, because the mean of its divisors is an integer number (2200656).

Almost surely, 2203146944 is an apocalyptic number.

203146944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369710208).

203146944 is an abundant number, since it is smaller than the sum of its proper divisors (536273472).

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

203146944 is a wasteful number, since it uses less digits than its factorization.

203146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 203146944 is about 14252.9626393954. The cubic root of 203146944 is about 587.8548394504.

The spelling of 203146944 in words is "two hundred three million, one hundred forty-six thousand, nine hundred forty-four".