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3229231968 = 253334710771
BaseRepresentation
bin1100000001111010…
…0010101101100000
322100001100222111000
43000132202231200
523103140410333
61252233352000
7143011006314
oct30036425540
98301328430
103229231968
1114078a9856
12761568600
133c6035061
14228c37b44
1513d774713
hexc07a2b60

3229231968 has 96 divisors (see below), whose sum is σ = 9446613120. Its totient is φ = 1073208960.

The previous prime is 3229231949. The next prime is 3229231981. The reversal of 3229231968 is 8691329223.

It is a happy number.

3229231968 is a `hidden beast` number, since 322 + 9 + 2 + 319 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294423 + ... + 305193.

It is an arithmetic number, because the mean of its divisors is an integer number (98402220).

Almost surely, 23229231968 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 3229231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4723306560).

3229231968 is an abundant number, since it is smaller than the sum of its proper divisors (6217381152).

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

3229231968 is a wasteful number, since it uses less digits than its factorization.

3229231968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11137 (or 11123 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3229231968 is about 56826.3316429980. The cubic root of 3229231968 is about 1478.0861504884.

The spelling of 3229231968 in words is "three billion, two hundred twenty-nine million, two hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 347 432 694 864 1041 1388 2082 2776 3123 4164 5552 6246 8328 9369 10771 11104 12492 16656 18738 21542 24984 32313 33312 37476 43084 49968 64626 74952 86168 96939 99936 129252 149904 172336 193878 258504 290817 299808 344672 387756 517008 581634 775512 1034016 1163268 1551024 2326536 3102048 3737537 4653072 7475074 9306144 11212611 14950148 22425222 29900296 33637833 44850444 59800592 67275666 89700888 100913499 119601184 134551332 179401776 201826998 269102664 358803552 403653996 538205328 807307992 1076410656 1614615984 3229231968