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233012214 = 2352631823
BaseRepresentation
bin11011110001101…
…11101111110110
3121020110020200000
431320313233312
5434122342324
635042132130
75526366621
oct1570675766
9536406600
10233012214
1110a590586
1266051046
1339375366
1422d36db8
15156ca9c9
hexde37bf6

233012214 has 48 divisors (see below), whose sum is σ = 525837312. Its totient is φ = 77332968.

The previous prime is 233012209. The next prime is 233012267. The reversal of 233012214 is 412210332.

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 23 ways as a sum of consecutive naturals, for example, 126907 + ... + 128729.

It is an arithmetic number, because the mean of its divisors is an integer number (10954944).

Almost surely, 2233012214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233012214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262918656).

233012214 is an abundant number, since it is smaller than the sum of its proper divisors (292825098).

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

233012214 is a wasteful number, since it uses less digits than its factorization.

233012214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 233012214 is about 15264.7376001031. The cubic root of 233012214 is about 615.3557014292.

Adding to 233012214 its reverse (412210332), we get a palindrome (645222546).

The spelling of 233012214 in words is "two hundred thirty-three million, twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 263 486 526 789 1578 1823 2367 3646 4734 5469 7101 10938 14202 16407 21303 32814 42606 49221 63909 98442 127818 147663 295326 442989 479449 885978 958898 1438347 2876694 4315041 8630082 12945123 25890246 38835369 77670738 116506107 233012214