Search a number
-
+
23158364922 = 23271119498573
BaseRepresentation
bin10101100100010110…
…001001101011111010
32012202221112211102100
4111210112021223322
5334412020134142
614345552044230
71446612565620
oct254426115372
965687484370
1023158364922
119904325370
1245a3833676
132250b29614
141199953510
15908192b4c
hex564589afa

23158364922 has 96 divisors (see below), whose sum is σ = 62597059200. Its totient is φ = 6011372160.

The previous prime is 23158364917. The next prime is 23158364953. The reversal of 23158364922 is 22946385132.

23158364922 is a `hidden beast` number, since 2 + 3 + 1 + 583 + 6 + 49 + 22 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2697028 + ... + 2705600.

It is an arithmetic number, because the mean of its divisors is an integer number (652052700).

Almost surely, 223158364922 is an apocalyptic number.

23158364922 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23158364922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31298529600).

23158364922 is an abundant number, since it is smaller than the sum of its proper divisors (39438694278).

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

23158364922 is a wasteful number, since it uses less digits than its factorization.

23158364922 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10548 (or 10545 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 23158364922 in words is "twenty-three billion, one hundred fifty-eight million, three hundred sixty-four thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 1949 3898 5847 8573 11694 13643 17146 17541 21439 25719 27286 35082 40929 42878 51438 60011 64317 77157 81858 94303 120022 122787 128634 150073 154314 180033 188606 192951 245574 282909 300146 360066 385902 450219 540099 565818 660121 848727 900438 1080198 1320242 1350657 1697454 1980363 2701314 3960726 5941089 11882178 16708777 33417554 50126331 100252662 116961439 150378993 183796547 233922878 300757986 350884317 367593094 551389641 701768634 1052652951 1102779282 1286575829 1654168923 2105305902 2573151658 3308337846 3859727487 7719454974 11579182461 23158364922