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233133012 = 223371132729
BaseRepresentation
bin11011110010101…
…01001111010100
3121020200101101000
431321111033110
5434140224022
635044503300
75530412040
oct1571251724
9536611330
10233133012
1110a663312
12660aab30
13393b8338
1422d69020
15157016ac
hexde553d4

233133012 has 96 divisors (see below), whose sum is σ = 697132800. Its totient is φ = 65995776.

The previous prime is 233133007. The next prime is 233133023. The reversal of 233133012 is 210331332.

233133012 is a `hidden beast` number, since 2 + 331 + 330 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84064 + ... + 86792.

It is an arithmetic number, because the mean of its divisors is an integer number (7261800).

Almost surely, 2233133012 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 233133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348566400).

233133012 is an abundant number, since it is smaller than the sum of its proper divisors (463999788).

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

233133012 is a wasteful number, since it uses less digits than its factorization.

233133012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 233133012 is about 15268.6938537650. The cubic root of 233133012 is about 615.4620204572.

Adding to 233133012 its reverse (210331332), we get a palindrome (443464344).

The spelling of 233133012 in words is "two hundred thirty-three million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 113 126 189 226 252 339 378 452 678 756 791 1017 1356 1582 2034 2373 2729 3051 3164 4068 4746 5458 6102 7119 8187 9492 10916 12204 14238 16374 19103 21357 24561 28476 32748 38206 42714 49122 57309 73683 76412 85428 98244 114618 147366 171927 229236 294732 308377 343854 515781 616754 687708 925131 1031562 1233508 1850262 2063124 2158639 2775393 3700524 4317278 5550786 6475917 8326179 8634556 11101572 12951834 16652358 19427751 25903668 33304716 38855502 58283253 77711004 116566506 233133012