Search a number
-
+
23301900 = 223252171523
BaseRepresentation
bin101100011100…
…0111100001100
31121211212012100
41120320330030
521431130100
62151235100
7402030366
oct130707414
947755170
1023301900
1112176076
127978a90
134a9b30b
143147d36
1520a4400
hex1638f0c

23301900 has 108 divisors (see below), whose sum is σ = 77385672. Its totient is φ = 5844480.

The previous prime is 23301893. The next prime is 23301947. The reversal of 23301900 is 910332.

It is a super-2 number, since 2×233019002 = 1085957087220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14539 + ... + 16061.

It is an arithmetic number, because the mean of its divisors is an integer number (716534).

Almost surely, 223301900 is an apocalyptic number.

23301900 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 23301900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38692836).

23301900 is an abundant number, since it is smaller than the sum of its proper divisors (54083772).

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

23301900 is a wasteful number, since it uses less digits than its factorization.

23301900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 23301900 is about 4827.2041597596. The cubic root of 23301900 is about 285.6255879435.

The spelling of 23301900 in words is "twenty-three million, three hundred one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 300 306 340 425 450 510 612 765 850 900 1020 1275 1523 1530 1700 2550 3046 3060 3825 4569 5100 6092 7615 7650 9138 13707 15230 15300 18276 22845 25891 27414 30460 38075 45690 51782 54828 68535 76150 77673 91380 103564 114225 129455 137070 152300 155346 228450 233019 258910 274140 310692 342675 388365 456900 466038 517820 647275 685350 776730 932076 1165095 1294550 1370700 1553460 1941825 2330190 2589100 3883650 4660380 5825475 7767300 11650950 23301900