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232006016 = 2711533109
BaseRepresentation
bin11011101010000…
…10000110000000
3121011120010102102
431311002012000
5433343143031
635004405532
75515006244
oct1565020600
9534503372
10232006016
11109a63610
12658468a8
13390b2388
1422b54424
151557c7cb
hexdd42180

232006016 has 64 divisors (see below), whose sum is σ = 513896400. Its totient is φ = 103434240.

The previous prime is 232005973. The next prime is 232006043. The reversal of 232006016 is 610600232.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73070 + ... + 76178.

Almost surely, 2232006016 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 232006016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256948200).

232006016 is an abundant number, since it is smaller than the sum of its proper divisors (281890384).

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

232006016 is a wasteful number, since it uses less digits than its factorization.

232006016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 232006016 is about 15231.7436953226. The cubic root of 232006016 is about 614.4686763148.

Adding to 232006016 its reverse (610600232), we get a palindrome (842606248).

The spelling of 232006016 in words is "two hundred thirty-two million, six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 352 424 583 704 848 1166 1408 1696 2332 3109 3392 4664 6218 6784 9328 12436 18656 24872 34199 37312 49744 68398 74624 99488 136796 164777 198976 273592 329554 397952 547184 659108 1094368 1318216 1812547 2188736 2636432 3625094 4377472 5272864 7250188 10545728 14500376 21091456 29000752 58001504 116003008 232006016