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230242112304 = 24337433014903
BaseRepresentation
bin1101011001101101111…
…1111101001100110000
3211000021222011011111220
43112123133331030300
512233013440043204
6253434411305040
722430420443431
oct3263337751460
9730258134456
10230242112304
1189710740846
123875774b180
13189338c4699
14b202751488
155ec84751d9
hex359b7fd330

230242112304 has 80 divisors (see below), whose sum is σ = 625074016512. Its totient is φ = 72936509184.

The previous prime is 230242112293. The next prime is 230242112311. The reversal of 230242112304 is 403211242032.

It is a happy number.

It is a super-2 number, since 2×2302421123042 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1431084 + ... + 1583819.

Almost surely, 2230242112304 is an apocalyptic number.

230242112304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230242112304 is an abundant number, since it is smaller than the sum of its proper divisors (394831904208).

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

230242112304 is a wasteful number, since it uses less digits than its factorization.

230242112304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014994 (or 3014988 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 230242112304 its reverse (403211242032), we get a palindrome (633453354336).

The spelling of 230242112304 in words is "two hundred thirty billion, two hundred forty-two million, one hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 37 43 48 74 86 111 129 148 172 222 258 296 344 444 516 592 688 888 1032 1591 1776 2064 3182 4773 6364 9546 12728 19092 25456 38184 76368 3014903 6029806 9044709 12059612 18089418 24119224 36178836 48238448 72357672 111551411 129640829 144715344 223102822 259281658 334654233 388922487 446205644 518563316 669308466 777844974 892411288 1037126632 1338616932 1555689948 1784822576 2074253264 2677233864 3111379896 4796710673 5354467728 6222759792 9593421346 14390132019 19186842692 28780264038 38373685384 57560528076 76747370768 115121056152 230242112304