Search a number
-
+
23319900 = 2234522879
BaseRepresentation
bin101100011110…
…1010101011100
31121212202220000
41120331111130
521432214100
62151454300
7402134022
oct130752534
947782800
1023319900
111218864a
127987390
134aa6576
143150712
1520a9900
hex163d55c

23319900 has 90 divisors (see below), whose sum is σ = 75620160. Its totient is φ = 6216480.

The previous prime is 23319899. The next prime is 23319913. The reversal of 23319900 is 991332.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6661 + ... + 9539.

It is an arithmetic number, because the mean of its divisors is an integer number (840224).

Almost surely, 223319900 is an apocalyptic number.

23319900 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 23319900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37810080).

23319900 is an abundant number, since it is smaller than the sum of its proper divisors (52300260).

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

23319900 is a wasteful number, since it uses less digits than its factorization.

23319900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 23319900 is about 4829.0682331067. The cubic root of 23319900 is about 285.6991146706.

The spelling of 23319900 in words is "twenty-three million, three hundred nineteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 2879 4050 5758 8100 8637 11516 14395 17274 25911 28790 34548 43185 51822 57580 71975 77733 86370 103644 129555 143950 155466 172740 215925 233199 259110 287900 310932 388665 431850 466398 518220 647775 777330 863700 932796 1165995 1295550 1554660 1943325 2331990 2591100 3886650 4663980 5829975 7773300 11659950 23319900