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202328940 = 223511229312
BaseRepresentation
bin11000000111101…
…00101101101100
3112002201101010110
430003310231230
5403244011230
632024340020
75004524202
oct1403645554
9462641113
10202328940
11a4233800
1257914610
1332bc1388
141cc2b072
1512b694b0
hexc0f4b6c

202328940 has 216 divisors, whose sum is σ = 665627760. Its totient is φ = 45830400.

The previous prime is 202328939. The next prime is 202328941. The reversal of 202328940 is 49823202.

202328940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202328939) and next prime (202328941).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 202328898 and 202328907.

It is not an unprimeable number, because it can be changed into a prime (202328941) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6526725 + ... + 6526755.

It is an arithmetic number, because the mean of its divisors is an integer number (3081610).

Almost surely, 2202328940 is an apocalyptic number.

202328940 is a gapful number since it is divisible by the number (20) 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 202328940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332813880).

202328940 is an abundant number, since it is smaller than the sum of its proper divisors (463298820).

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

202328940 is a wasteful number, since it uses less digits than its factorization.

202328940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 202328940 is about 14224.2377651669. The cubic root of 202328940 is about 587.0647471839.

The spelling of 202328940 in words is "two hundred two million, three hundred twenty-eight thousand, nine hundred forty".