Search a number
-
+
23149622500 = 22541721792
BaseRepresentation
bin10101100011110100…
…110011010011100100
32012202100002200001221
4111203310303103210
5334402300410000
614345040430124
71446445354534
oct254364632344
965670080057
1023149622500
1198aa3a4024
1245a0918344
13224c0882a4
1411987194c4
1590751761a
hex563d334e4

23149622500 has 135 divisors (see below), whose sum is σ = 54078727549. Its totient is φ = 8666464000.

The previous prime is 23149622407. The next prime is 23149622513. The reversal of 23149622500 is 522694132.

The square root of 23149622500 is 152150.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 11305218276 + 11844404224 = 106326^2 + 108832^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 129327411 + ... + 129327589.

Almost surely, 223149622500 is an apocalyptic number.

23149622500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23149622500 is the 152150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23149622500

23149622500 is an abundant number, since it is smaller than the sum of its proper divisors (30929105049).

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

23149622500 is an equidigital number, since it uses as much as digits as its factorization.

23149622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 23149622500 in words is "twenty-three billion, one hundred forty-nine million, six hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 179 250 289 340 358 425 500 578 625 716 850 895 1156 1250 1445 1700 1790 2125 2500 2890 3043 3580 4250 4475 5780 6086 7225 8500 8950 10625 12172 14450 15215 17900 21250 22375 28900 30430 32041 36125 42500 44750 51731 60860 64082 72250 76075 89500 103462 111875 128164 144500 152150 160205 180625 206924 223750 258655 304300 320410 361250 380375 447500 517310 544697 640820 722500 760750 801025 1034620 1089394 1293275 1521500 1602050 1901875 2178788 2586550 2723485 3204100 3803750 4005125 5173100 5446970 6466375 7607500 8010250 9259849 10893940 12932750 13617425 16020500 18519698 20025625 25865500 27234850 32331875 37039396 40051250 46299245 54469700 64663750 68087125 80102500 92598490 129327500 136174250 185196980 231496225 272348500 340435625 462992450 680871250 925984900 1157481125 1361742500 2314962250 4629924500 5787405625 11574811250 23149622500