Search a number
-
+
232669368 = 23332394507
BaseRepresentation
bin11011101111001…
…00000010111000
3121012210211101000
431313210002320
5434030404433
635030525000
75523441231
oct1567440270
9535724330
10232669368
1110a376a38
1265b06760
13392852a9
1422c88088
151565e113
hexdde40b8

232669368 has 64 divisors (see below), whose sum is σ = 649152000. Its totient is φ = 77214816.

The previous prime is 232669351. The next prime is 232669369. The reversal of 232669368 is 863966232.

232669368 is a `hidden beast` number, since 23 + 266 + 9 + 368 = 666.

232669368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232669369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49371 + ... + 53877.

It is an arithmetic number, because the mean of its divisors is an integer number (10143000).

Almost surely, 2232669368 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 232669368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324576000).

232669368 is an abundant number, since it is smaller than the sum of its proper divisors (416482632).

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

232669368 is a wasteful number, since it uses less digits than its factorization.

232669368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4751 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 232669368 is about 15253.5034664171. The cubic root of 232669368 is about 615.0537490204.

The spelling of 232669368 in words is "two hundred thirty-two million, six hundred sixty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 239 478 717 956 1434 1912 2151 2868 4302 4507 5736 6453 8604 9014 12906 13521 17208 18028 25812 27042 36056 40563 51624 54084 81126 108168 121689 162252 243378 324504 486756 973512 1077173 2154346 3231519 4308692 6463038 8617384 9694557 12926076 19389114 25852152 29083671 38778228 58167342 77556456 116334684 232669368