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230054440 = 235711113661
BaseRepresentation
bin11011011011001…
…01101000101000
3121000212222100211
431231211220220
5432343220230
634454510504
75462300440
oct1555455050
9530788324
10230054440
11108950340
1265065434
133887acb5
14227a7120
15152e442a
hexdb65a28

230054440 has 128 divisors (see below), whose sum is σ = 652043520. Its totient is φ = 70963200.

The previous prime is 230054423. The next prime is 230054443. The reversal of 230054440 is 44450032.

It is a happy number.

230054440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (230054443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347710 + ... + 348370.

It is an arithmetic number, because the mean of its divisors is an integer number (5094090).

Almost surely, 2230054440 is an apocalyptic number.

230054440 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 230054440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326021760).

230054440 is an abundant number, since it is smaller than the sum of its proper divisors (421989080).

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

230054440 is a wasteful number, since it uses less digits than its factorization.

230054440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 230054440 is about 15167.5456155569. The cubic root of 230054440 is about 612.7409042650.

The spelling of 230054440 in words is "two hundred thirty million, fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 113 140 154 220 226 280 308 385 440 452 565 616 661 770 791 904 1130 1243 1322 1540 1582 2260 2486 2644 3080 3164 3305 3955 4520 4627 4972 5288 6215 6328 6610 7271 7910 8701 9254 9944 12430 13220 14542 15820 17402 18508 23135 24860 26440 29084 31640 34804 36355 37016 43505 46270 49720 50897 58168 69608 72710 74693 87010 92540 101794 145420 149386 174020 185080 203588 254485 290840 298772 348040 373465 407176 508970 522851 597544 746930 821623 1017940 1045702 1493860 1643246 2035880 2091404 2614255 2987720 3286492 4108115 4182808 5228510 5751361 6572984 8216230 10457020 11502722 16432460 20914040 23005444 28756805 32864920 46010888 57513610 115027220 230054440