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202442331 = 3713741547
BaseRepresentation
bin11000001000100…
…00011001011011
3112002221010200010
430010100121123
5403311123311
632031013003
75005505610
oct1404203133
9462833603
10202442331
11a4300a13
125796a163
1332c30b80
141cc5a507
1512b8cda6
hexc11065b

202442331 has 16 divisors (see below), whose sum is σ = 332213504. Its totient is φ = 106782624.

The previous prime is 202442329. The next prime is 202442353. The reversal of 202442331 is 133244202.

It is not a de Polignac number, because 202442331 - 21 = 202442329 is a prime.

It is a super-2 number, since 2×2024423312 = 81965794761427122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 202442298 and 202442307.

It is not an unprimeable number, because it can be changed into a prime (202442531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370501 + ... + 371046.

It is an arithmetic number, because the mean of its divisors is an integer number (20763344).

Almost surely, 2202442331 is an apocalyptic number.

202442331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

202442331 is a deficient number, since it is larger than the sum of its proper divisors (129771173).

202442331 is a wasteful number, since it uses less digits than its factorization.

202442331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741570.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 202442331 is about 14228.2230443580. The cubic root of 202442331 is about 587.1743960674.

Adding to 202442331 its reverse (133244202), we get a palindrome (335686533).

The spelling of 202442331 in words is "two hundred two million, four hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 741547 2224641 5190829 9640111 15572487 28920333 67480777 202442331