Search a number
-
+
233010420 = 22359414127
BaseRepresentation
bin11011110001101…
…11010011110100
3121020110011012120
431320313103310
5434122313140
635042115540
75526361446
oct1570672364
9536404176
10233010420
1110a58a1a5
126604bbb0
13393745b6
1422d36496
15156ca1d0
hexde374f4

233010420 has 48 divisors (see below), whose sum is σ = 653280768. Its totient is φ = 62055040.

The previous prime is 233010403. The next prime is 233010467. The reversal of 233010420 is 24010332.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 233010420.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54397 + ... + 58523.

It is an arithmetic number, because the mean of its divisors is an integer number (13610016).

Almost surely, 2233010420 is an apocalyptic number.

233010420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233010420 is an abundant number, since it is smaller than the sum of its proper divisors (420270348).

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

233010420 is a wasteful number, since it uses less digits than its factorization.

233010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 233010420 is about 15264.6788371063. The cubic root of 233010420 is about 615.3541221830.

Adding to 233010420 its reverse (24010332), we get a palindrome (257020752).

The spelling of 233010420 in words is "two hundred thirty-three million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 941 1882 2823 3764 4127 4705 5646 8254 9410 11292 12381 14115 16508 18820 20635 24762 28230 41270 49524 56460 61905 82540 123810 247620 3883507 7767014 11650521 15534028 19417535 23301042 38835070 46602084 58252605 77670140 116505210 233010420