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233388012 = 2231113277491
BaseRepresentation
bin11011110100100…
…11011111101100
3121021011100011110
431322103133230
5434221404022
635054152020
75532523344
oct1572233754
9537140143
10233388012
1110a817960
12661b2610
1339477420
1422dd3d24
151575200c
hexde937ec

233388012 has 96 divisors (see below), whose sum is σ = 643394304. Its totient is φ = 64915200.

The previous prime is 233387981. The next prime is 233388017. The reversal of 233388012 is 210883332.

It is not an unprimeable number, because it can be changed into a prime (233388017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475087 + ... + 475577.

It is an arithmetic number, because the mean of its divisors is an integer number (6702024).

Almost surely, 2233388012 is an apocalyptic number.

233388012 is a gapful number since it is divisible by the number (22) 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 233388012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321697152).

233388012 is an abundant number, since it is smaller than the sum of its proper divisors (410006292).

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

233388012 is a wasteful number, since it uses less digits than its factorization.

233388012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 233388012 is about 15277.0419911709. The cubic root of 233388012 is about 615.6863353629.

The spelling of 233388012 in words is "two hundred thirty-three million, three hundred eighty-eight thousand, twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 277 286 429 491 554 572 831 858 982 1108 1473 1662 1716 1964 2946 3047 3324 3601 5401 5892 6094 6383 7202 9141 10802 10803 12188 12766 14404 16203 18282 19149 21604 21606 25532 32406 36564 38298 39611 43212 64812 70213 76596 79222 118833 136007 140426 158444 210639 237666 272014 280852 408021 421278 475332 544028 816042 842556 1496077 1632084 1768091 2992154 3536182 4488231 5304273 5984308 7072364 8976462 10608546 17952924 19449001 21217092 38898002 58347003 77796004 116694006 233388012