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230145352052 = 2271110119338333
BaseRepresentation
bin1101011001010110111…
…0110110000101110100
3211000001020002020101212
43112111232312011310
512232314202231202
6253421033340552
722425134133530
oct3262556660564
9730036066355
10230145352052
11896710623a0
123872b267758
13189198466b5
14b1d3964bc0
155ebec10652
hex3595bb6174

230145352052 has 96 divisors (see below), whose sum is σ = 509747745024. Its totient is φ = 88316928000.

The previous prime is 230145352051. The next prime is 230145352069. The reversal of 230145352052 is 250253541032.

It is a super-2 number, since 2×2301453520522 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230145352051) 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, 5984678 + ... + 6023010.

It is an arithmetic number, because the mean of its divisors is an integer number (5309872344).

Almost surely, 2230145352052 is an apocalyptic number.

230145352052 is a gapful number since it is divisible by the number (22) 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 230145352052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254873872512).

230145352052 is an abundant number, since it is smaller than the sum of its proper divisors (279602392972).

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

230145352052 is a wasteful number, since it uses less digits than its factorization.

230145352052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38649 (or 38647 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

Adding to 230145352052 its reverse (250253541032), we get a palindrome (480398893084).

The spelling of 230145352052 in words is "two hundred thirty billion, one hundred forty-five million, three hundred fifty-two thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 193 202 308 386 404 707 772 1111 1351 1414 2123 2222 2702 2828 4246 4444 5404 7777 8492 14861 15554 19493 29722 31108 38333 38986 59444 76666 77972 136451 153332 214423 268331 272902 421663 428846 536662 545804 843326 857692 1073324 1500961 1686652 2951641 3001922 3871633 5903282 6003844 7398269 7743266 11806564 14796538 15486532 27101431 29593076 42587963 51787883 54202862 81380959 85175926 103575766 108405724 162761918 170351852 207151532 298115741 325523836 569666713 596231482 747225169 1139333426 1192462964 1494450338 2278666852 2988900676 5230576183 8219476859 10461152366 16438953718 20922304732 32877907436 57536338013 115072676026 230145352052