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233107468 = 221121741691
BaseRepresentation
bin11011110010011…
…11000000001100
3121020122002022221
431321033000030
5434133414333
635044145124
75530244416
oct1571170014
9536562287
10233107468
1110a646100
12660981a4
13393a9819
1422d5d9b6
15156e8d2d
hexde4f00c

233107468 has 72 divisors (see below), whose sum is σ = 487054512. Its totient is φ = 97152000.

The previous prime is 233107421. The next prime is 233107471. The reversal of 233107468 is 864701332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337003 + ... + 337693.

It is an arithmetic number, because the mean of its divisors is an integer number (6764646).

Almost surely, 2233107468 is an apocalyptic number.

It is an amenable number.

233107468 is an abundant number, since it is smaller than the sum of its proper divisors (253947044).

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

233107468 is a wasteful number, since it uses less digits than its factorization.

233107468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 233107468 is about 15267.8573480368. The cubic root of 233107468 is about 615.4395412497.

It can be divided in two parts, 233 and 107468, that added together give a palindrome (107701).

The spelling of 233107468 in words is "two hundred thirty-three million, one hundred seven thousand, four hundred sixty-eight".

Divisors: 1 2 4 11 17 22 34 41 44 68 82 121 164 187 242 374 451 484 691 697 748 902 1382 1394 1804 2057 2764 2788 4114 4961 7601 7667 8228 9922 11747 15202 15334 19844 23494 28331 30404 30668 46988 56662 83611 84337 113324 129217 167222 168674 258434 311641 334444 337348 481627 516868 623282 963254 1246564 1421387 1926508 2842774 3428051 5297897 5685548 6856102 10595794 13712204 21191588 58276867 116553734 233107468