Search a number
-
+
233441364 = 223139715427
BaseRepresentation
bin11011110101000…
…00100001010100
3121021021001100110
431322200201110
5434230110424
635055243020
75533135032
oct1572404124
9537231313
10233441364
1110a853a52
1266219470
13394957b0
1423009552
1515762c29
hexdea0854

233441364 has 48 divisors (see below), whose sum is σ = 592682048. Its totient is φ = 71083008.

The previous prime is 233441357. The next prime is 233441381. The reversal of 233441364 is 463144332.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7419 + ... + 22845.

Almost surely, 2233441364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233441364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296341024).

233441364 is an abundant number, since it is smaller than the sum of its proper divisors (359240684).

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

233441364 is a wasteful number, since it uses less digits than its factorization.

233441364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15544 (or 15542 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 233441364 is about 15278.7880409409. The cubic root of 233441364 is about 615.7332466480.

Adding to 233441364 its reverse (463144332), we get a palindrome (696585696).

The spelling of 233441364 in words is "two hundred thirty-three million, four hundred forty-one thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 97 156 194 291 388 582 1164 1261 2522 3783 5044 7566 15132 15427 30854 46281 61708 92562 185124 200551 401102 601653 802204 1203306 1496419 2406612 2992838 4489257 5985676 8978514 17957028 19453447 38906894 58360341 77813788 116720682 233441364