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230244444 = 2236233433
BaseRepresentation
bin11011011100101…
…00000001011100
3121001020122000000
431232110001130
5432420310234
634502534300
75464021413
oct1556240134
9531218000
10230244444
11108a70071
1265137390
1338916621
142281647a
1515330899
hexdb9405c

230244444 has 84 divisors (see below), whose sum is σ = 630564816. Its totient is φ = 73389888.

The previous prime is 230244431. The next prime is 230244457. The reversal of 230244444 is 444442032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (230244431) and next prime (230244457).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 27 ways as a sum of consecutive naturals, for example, 65352 + ... + 68784.

It is an arithmetic number, because the mean of its divisors is an integer number (7506724).

Almost surely, 2230244444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230244444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315282408).

230244444 is an abundant number, since it is smaller than the sum of its proper divisors (400320372).

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

230244444 is a wasteful number, since it uses less digits than its factorization.

230244444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3478 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 230244444 is about 15173.8078279646. The cubic root of 230244444 is about 612.9095472259.

Adding to 230244444 its reverse (444442032), we get a palindrome (674686476).

The spelling of 230244444 in words is "two hundred thirty million, two hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 729 828 972 1242 1458 1863 2484 2916 3433 3726 5589 6866 7452 10299 11178 13732 16767 20598 22356 30897 33534 41196 61794 67068 78959 92691 123588 157918 185382 236877 278073 315836 370764 473754 556146 710631 834219 947508 1112292 1421262 1668438 2131893 2502657 2842524 3336876 4263786 5005314 6395679 8527572 10010628 12791358 19187037 25582716 38374074 57561111 76748148 115122222 230244444