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230120244024 = 233112851305741
BaseRepresentation
bin1101011001010000111…
…1000100001100111000
3210222222110211121122220
43112110033010030320
512232241240302044
6253414335244040
722424410541346
oct3262417041470
9728873747586
10230120244024
1189658973360
1238722979620
1318914595288
14b1d04aa996
155ebc901019
hex35943c4338

230120244024 has 64 divisors (see below), whose sum is σ = 627822852480. Its totient is φ = 69708720000.

The previous prime is 230120244007. The next prime is 230120244047. The reversal of 230120244024 is 420442021032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 230120243985 and 230120244003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599794 + ... + 905534.

It is an arithmetic number, because the mean of its divisors is an integer number (9809732070).

Almost surely, 2230120244024 is an apocalyptic number.

230120244024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230120244024 is an abundant number, since it is smaller than the sum of its proper divisors (397702608456).

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

230120244024 is a wasteful number, since it uses less digits than its factorization.

230120244024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308612 (or 308608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 230120244024 its reverse (420442021032), we get a palindrome (650562265056).

The spelling of 230120244024 in words is "two hundred thirty billion, one hundred twenty million, two hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2851 5702 8553 11404 17106 22808 31361 34212 62722 68424 94083 125444 188166 250888 305741 376332 611482 752664 917223 1222964 1834446 2445928 3363151 3668892 6726302 7337784 10089453 13452604 20178906 26905208 40357812 80715624 871667591 1743335182 2615002773 3486670364 5230005546 6973340728 9588343501 10460011092 19176687002 20920022184 28765030503 38353374004 57530061006 76706748008 115060122012 230120244024