Search a number
-
+
23125500 = 223453571
BaseRepresentation
bin101100000110…
…1110111111100
31121111220020000
41120031313330
521410004000
62143354300
7400364166
oct130156774
947456200
1023125500
1112065592
1278b2990
134a38c38
1430dd936
15206c000
hex160ddfc

23125500 has 120 divisors (see below), whose sum is σ = 75579504. Its totient is φ = 6156000.

The previous prime is 23125469. The next prime is 23125513. The reversal of 23125500 is 552132.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40215 + ... + 40785.

Almost surely, 223125500 is an apocalyptic number.

23125500 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 23125500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37789752).

23125500 is an abundant number, since it is smaller than the sum of its proper divisors (52454004).

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

23125500 is a wasteful number, since it uses less digits than its factorization.

23125500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 23125500 is about 4808.8980026613. The cubic root of 23125500 is about 284.9030140907.

Adding to 23125500 its reverse (552132), we get a palindrome (23677632).

The spelling of 23125500 in words is "twenty-three million, one hundred twenty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 250 270 300 324 375 405 450 500 540 571 675 750 810 900 1125 1142 1350 1500 1620 1713 2025 2250 2284 2700 2855 3375 3426 4050 4500 5139 5710 6750 6852 8100 8565 10125 10278 11420 13500 14275 15417 17130 20250 20556 25695 28550 30834 34260 40500 42825 46251 51390 57100 61668 71375 77085 85650 92502 102780 128475 142750 154170 171300 185004 214125 231255 256950 285500 308340 385425 428250 462510 513900 642375 770850 856500 925020 1156275 1284750 1541700 1927125 2312550 2569500 3854250 4625100 5781375 7708500 11562750 23125500