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230133243004 = 2272107109100673
BaseRepresentation
bin1101011001010100000…
…0101001110001111100
3211000000101022000220121
43112111000221301330
512232303102234004
6253415522024324
722424626201300
oct3262500516174
9730011260817
10230133243004
1189665241715
12387271a80a4
1318917196b92
14b1d20d1d00
155ebdb1c854
hex3595029c7c

230133243004 has 72 divisors (see below), whose sum is σ = 477206840880. Its totient is φ = 96809416704.

The previous prime is 230133242947. The next prime is 230133243083. The reversal of 230133243004 is 400342331032.

It is a super-2 number, since 2×2301332430042 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230133243004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2235612 + ... + 2336284.

It is an arithmetic number, because the mean of its divisors is an integer number (6627872790).

Almost surely, 2230133243004 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 230133243004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238603420440).

230133243004 is an abundant number, since it is smaller than the sum of its proper divisors (247073597876).

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

230133243004 is a wasteful number, since it uses less digits than its factorization.

230133243004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100907 (or 100898 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 230133243004 its reverse (400342331032), we get a palindrome (630475574036).

The spelling of 230133243004 in words is "two hundred thirty billion, one hundred thirty-three million, two hundred forty-three thousand, four".

Divisors: 1 2 4 7 14 28 49 98 107 109 196 214 218 428 436 749 763 1498 1526 2996 3052 5243 5341 10486 10682 11663 20972 21364 23326 46652 81641 100673 163282 201346 326564 402692 571487 704711 1142974 1409422 2285948 2818844 4932977 9865954 10772011 10973357 19731908 21544022 21946714 43088044 43893428 75404077 76813499 150808154 153626998 301616308 307253996 527828539 537694493 1055657078 1075388986 1174149199 2111314156 2150777972 2348298398 4696596796 8219044393 16438088786 32876177572 57533310751 115066621502 230133243004