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23240100 = 223521359101
BaseRepresentation
bin101100010100…
…1110110100100
31121201201102110
41120221312210
521422140400
62150041020
7401352252
oct130516644
947651373
1023240100
11121336a4
127949170
134a79150
14312d5d2
152090e50
hex1629da4

23240100 has 144 divisors (see below), whose sum is σ = 74370240. Its totient is φ = 5568000.

The previous prime is 23240039. The next prime is 23240101. The reversal of 23240100 is 104232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (23240101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230050 + ... + 230150.

It is an arithmetic number, because the mean of its divisors is an integer number (516460).

Almost surely, 223240100 is an apocalyptic number.

23240100 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 23240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37185120).

23240100 is an abundant number, since it is smaller than the sum of its proper divisors (51130140).

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

23240100 is a wasteful number, since it uses less digits than its factorization.

23240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 23240100 is about 4820.7986890141. The cubic root of 23240100 is about 285.3728576327.

Adding to 23240100 its reverse (104232), we get a palindrome (23344332).

The spelling of 23240100 in words is "twenty-three million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 59 60 65 75 78 100 101 118 130 150 156 177 195 202 236 260 295 300 303 325 354 390 404 505 590 606 650 708 767 780 885 975 1010 1180 1212 1300 1313 1475 1515 1534 1770 1950 2020 2301 2525 2626 2950 3030 3068 3540 3835 3900 3939 4425 4602 5050 5252 5900 5959 6060 6565 7575 7670 7878 8850 9204 10100 11505 11918 13130 15150 15340 15756 17700 17877 19175 19695 23010 23836 26260 29795 30300 32825 35754 38350 39390 46020 57525 59590 65650 71508 76700 77467 78780 89385 98475 115050 119180 131300 148975 154934 178770 196950 230100 232401 297950 309868 357540 387335 393900 446925 464802 595900 774670 893850 929604 1162005 1549340 1787700 1936675 2324010 3873350 4648020 5810025 7746700 11620050 23240100