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23134220424 = 2332767685093
BaseRepresentation
bin10101100010111010…
…000011000010001000
32012201021010011101200
4111202322003002020
5334334330023144
614343330344200
71446200425530
oct254272030210
965637104350
1023134220424
1198a1734237
12459772b060
132248b24933
14119666a4c0
15905ec3c69
hex562e83088

23134220424 has 96 divisors (see below), whose sum is σ = 72674771520. Its totient is φ = 6511114368.

The previous prime is 23134220423. The next prime is 23134220453. The reversal of 23134220424 is 42402243132.

23134220424 is a `hidden beast` number, since 2 + 3 + 13 + 4 + 220 + 424 = 666.

It is not an unprimeable number, because it can be changed into a prime (23134220423) by changing a digit.

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, 308779 + ... + 376314.

It is an arithmetic number, because the mean of its divisors is an integer number (757028870).

Almost surely, 223134220424 is an apocalyptic number.

23134220424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23134220424 is an abundant number, since it is smaller than the sum of its proper divisors (49540551096).

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

23134220424 is a wasteful number, since it uses less digits than its factorization.

23134220424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685179 (or 685172 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 23134220424 its reverse (42402243132), we get a palindrome (65536463556).

The spelling of 23134220424 in words is "twenty-three billion, one hundred thirty-four million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1608 1876 2412 2814 3752 4221 4824 5628 8442 11256 16884 33768 685093 1370186 2055279 2740372 4110558 4795651 5480744 6165837 8221116 9591302 12331674 14386953 16442232 19182604 24663348 28773906 38365208 43160859 45901231 49326696 57547812 86321718 91802462 115095624 137703693 172643436 183604924 275407386 321308617 345286872 367209848 413111079 550814772 642617234 826222158 963925851 1101629544 1285234468 1652444316 1927851702 2570468936 2891777553 3304888632 3855703404 5783555106 7711406808 11567110212 23134220424