Search a number
-
+
23111400 = 23352132963
BaseRepresentation
bin101100000101…
…0011011101000
31121111011212210
41120022123220
521404031100
62143205120
7400305114
oct130123350
947434783
1023111400
1112055a34
1278a67a0
134a326b0
1430d8744
152067c50
hex160a6e8

23111400 has 96 divisors (see below), whose sum is σ = 77182560. Its totient is φ = 5687040.

The previous prime is 23111393. The next prime is 23111401. The reversal of 23111400 is 411132.

It is a happy number.

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 (23111401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6319 + ... + 9281.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 223111400 is an apocalyptic number.

23111400 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 23111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38591280).

23111400 is an abundant number, since it is smaller than the sum of its proper divisors (54071160).

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

23111400 is a wasteful number, since it uses less digits than its factorization.

23111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 23111400 is about 4807.4317467854. The cubic root of 23111400 is about 284.8450989579.

Adding to 23111400 its reverse (411132), we get a palindrome (23522532).

The spelling of 23111400 in words is "twenty-three million, one hundred eleven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 2963 3900 5926 7800 8889 11852 14815 17778 23704 29630 35556 38519 44445 59260 71112 74075 77038 88890 115557 118520 148150 154076 177780 192595 222225 231114 296300 308152 355560 385190 444450 462228 577785 592600 770380 888900 924456 962975 1155570 1540760 1777800 1925950 2311140 2888925 3851900 4622280 5777850 7703800 11555700 23111400