Search a number
-
+
233012120 = 235112311553
BaseRepresentation
bin11011110001101…
…11101110011000
3121020110020112112
431320313232120
5434122341440
635042131452
75526366425
oct1570675630
9536406475
10233012120
1110a590500
1266050b88
13393752c3
1422d36d4c
15156ca965
hexde37b98

233012120 has 96 divisors (see below), whose sum is σ = 595244160. Its totient is φ = 81945600.

The previous prime is 233012119. The next prime is 233012137. The reversal of 233012120 is 21210332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 233012095 and 233012104.

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 23 ways as a sum of consecutive naturals, for example, 149264 + ... + 150816.

It is an arithmetic number, because the mean of its divisors is an integer number (6200460).

Almost surely, 2233012120 is an apocalyptic number.

233012120 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 233012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297622080).

233012120 is an abundant number, since it is smaller than the sum of its proper divisors (362232040).

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

233012120 is a wasteful number, since it uses less digits than its factorization.

233012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 233012120 is about 15264.7345211111. The cubic root of 233012120 is about 615.3556186818.

Adding to 233012120 its reverse (21210332), we get a palindrome (254222452).

The spelling of 233012120 in words is "two hundred thirty-three million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1553 1705 2420 2728 3106 3410 3751 4840 6212 6820 7502 7765 12424 13640 15004 15530 17083 18755 30008 31060 34166 37510 48143 62120 68332 75020 85415 96286 136664 150040 170830 187913 192572 240715 341660 375826 385144 481430 529573 683320 751652 939565 962860 1059146 1503304 1879130 1925720 2118292 2647865 3758260 4236584 5295730 5825303 7516520 10591460 11650606 21182920 23301212 29126515 46602424 58253030 116506060 233012120