Search a number
-
+
23151455320 = 2357259319919
BaseRepresentation
bin10101100011111011…
…110010110001011000
32012202110112210020011
4111203323302301120
5334403233032240
614345144011304
71446500060200
oct254373626130
965673483204
1023151455320
119900436054
1245a1460b34
13224c57a5b6
141198a75400
1590777a6ea
hex563ef2c58

23151455320 has 96 divisors (see below), whose sum is σ = 60700622400. Its totient is φ = 7923858432.

The previous prime is 23151455251. The next prime is 23151455329. The reversal of 23151455320 is 2355415132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23151455329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152321 + ... + 1172239.

It is an arithmetic number, because the mean of its divisors is an integer number (632298150).

Almost surely, 223151455320 is an apocalyptic number.

23151455320 is a gapful number since it is divisible by the number (20) 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 23151455320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30350311200).

23151455320 is an abundant number, since it is smaller than the sum of its proper divisors (37549167080).

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

23151455320 is a wasteful number, since it uses less digits than its factorization.

23151455320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20537 (or 20526 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 23151455320 in words is "twenty-three billion, one hundred fifty-one million, four hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 593 980 1186 1960 2372 2965 4151 4744 5930 8302 11860 16604 19919 20755 23720 29057 33208 39838 41510 58114 79676 83020 99595 116228 139433 145285 159352 166040 199190 232456 278866 290570 398380 557732 581140 697165 796760 976031 1115464 1162280 1394330 1952062 2788660 3904124 4880155 5577320 7808248 9760310 11811967 19520620 23623934 39041240 47247868 59059835 82683769 94495736 118119670 165367538 236239340 330735076 413418845 472478680 578786383 661470152 826837690 1157572766 1653675380 2315145532 2893931915 3307350760 4630291064 5787863830 11575727660 23151455320