Search a number
-
+
233421100 = 2252112101191
BaseRepresentation
bin11011110100110…
…11100100101100
3121021020000112221
431322123210230
5434223433400
635055005124
75533021663
oct1572334454
9537200487
10233421100
1110a83a800
12662097a4
13394894c3
1423001dda
151575bc1a
hexde9b92c

233421100 has 108 divisors (see below), whose sum is σ = 565213824. Its totient is φ = 83600000.

The previous prime is 233421079. The next prime is 233421109. The reversal of 233421100 is 1124332.

It is a happy number.

233421100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (233421109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1222005 + ... + 1222195.

Almost surely, 2233421100 is an apocalyptic number.

233421100 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 233421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282606912).

233421100 is an abundant number, since it is smaller than the sum of its proper divisors (331792724).

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

233421100 is a wasteful number, since it uses less digits than its factorization.

233421100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 233421100 is about 15278.1248849458. The cubic root of 233421100 is about 615.7154297834.

Adding to 233421100 its reverse (1124332), we get a palindrome (234545432).

It can be divided in two parts, 23342 and 1100, that added together give a palindrome (24442).

The spelling of 233421100 in words is "two hundred thirty-three million, four hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 121 191 202 220 242 275 382 404 484 505 550 605 764 955 1010 1100 1111 1210 1910 2020 2101 2222 2420 2525 3025 3820 4202 4444 4775 5050 5555 6050 8404 9550 10100 10505 11110 12100 12221 19100 19291 21010 22220 23111 24442 27775 38582 42020 46222 48884 52525 55550 61105 77164 92444 96455 105050 111100 115555 122210 192910 210100 212201 231110 244420 305525 385820 424402 462220 482275 577775 611050 848804 964550 1061005 1155550 1222100 1929100 2122010 2311100 2334211 4244020 4668422 5305025 9336844 10610050 11671055 21220100 23342110 46684220 58355275 116710550 233421100