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233010012 = 223293121599
BaseRepresentation
bin11011110001101…
…11001101011100
3121020110010122110
431320313031130
5434122310022
635042114020
75526360324
oct1570671534
9536403573
10233010012
1110a589964
126604b910
1339374361
1422d36284
15156ca00c
hexde3735c

233010012 has 48 divisors (see below), whose sum is σ = 580608000. Its totient is φ = 72569280.

The previous prime is 233009993. The next prime is 233010013. The reversal of 233010012 is 210010332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 233010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233010013) by changing a digit.

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, 12 + ... + 21587.

It is an arithmetic number, because the mean of its divisors is an integer number (12096000).

Almost surely, 2233010012 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 233010012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290304000).

233010012 is an abundant number, since it is smaller than the sum of its proper divisors (347597988).

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

233010012 is a wasteful number, since it uses less digits than its factorization.

233010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21666 (or 21664 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 233010012 is about 15264.6654729149. The cubic root of 233010012 is about 615.3537630222.

Adding to 233010012 its reverse (210010332), we get a palindrome (443020344).

The spelling of 233010012 in words is "two hundred thirty-three million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 10788 21599 43198 64797 86396 129594 259188 626371 669569 1252742 1339138 1879113 2008707 2505484 2678276 3758226 4017414 7516452 8034828 19417501 38835002 58252503 77670004 116505006 233010012