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232938216 = 233271731877
BaseRepresentation
bin11011110001001…
…01101011101000
3121020022111011100
431320211223220
5434113010331
635040401400
75525641110
oct1570455350
9536274140
10232938216
1110a53aa25
1266016260
133934a784
1422d18040
15156b3ae6
hexde25ae8

232938216 has 192 divisors, whose sum is σ = 788935680. Its totient is φ = 60549120.

The previous prime is 232938197. The next prime is 232938217. The reversal of 232938216 is 612839232.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (232938217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 265170 + ... + 266046.

It is an arithmetic number, because the mean of its divisors is an integer number (4109040).

Almost surely, 2232938216 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 232938216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394467840).

232938216 is an abundant number, since it is smaller than the sum of its proper divisors (555997464).

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

232938216 is a wasteful number, since it uses less digits than its factorization.

232938216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 937 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 232938216 is about 15262.3135860852. The cubic root of 232938216 is about 615.2905547551.

The spelling of 232938216 in words is "two hundred thirty-two million, nine hundred thirty-eight thousand, two hundred sixteen".