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233013330 = 232511221397
BaseRepresentation
bin11011110001110…
…00000001010010
3121020110022012100
431320320001102
5434122411310
635042141230
75526403104
oct1570700122
9536408170
10233013330
1110a591400
1266051816
1339375a14
1422d37574
15156caec0
hexde38052

233013330 has 72 divisors (see below), whose sum is σ = 665948556. Its totient is φ = 56485440.

The previous prime is 233013323. The next prime is 233013343. The reversal of 233013330 is 33310332.

233013330 is a `hidden beast` number, since 2 + 330 + 1 + 3 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217592001 + 15421329 = 14751^2 + 3927^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 192 + ... + 21588.

Almost surely, 2233013330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332974278).

233013330 is an abundant number, since it is smaller than the sum of its proper divisors (432935226).

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

233013330 is a wasteful number, since it uses less digits than its factorization.

233013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21432 (or 21418 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 233013330 is about 15264.7741548966. The cubic root of 233013330 is about 615.3566838324.

Adding to 233013330 its reverse (33310332), we get a palindrome (266323662).

The spelling of 233013330 in words is "two hundred thirty-three million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 5445 10890 21397 42794 64191 106985 128382 192573 213970 235367 320955 385146 470734 641910 706101 962865 1176835 1412202 1925730 2118303 2353670 2589037 3530505 4236606 5178074 7061010 7767111 10591515 12945185 15534222 21183030 23301333 25890370 38835555 46602666 77671110 116506665 233013330