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3221113040 = 245477431153
BaseRepresentation
bin1011111111111110…
…0100100011010000
322022111002111101222
42333333210203100
523044101104130
61251343344212
7142552003055
oct27777444320
98274074358
103221113040
1114032639a2
1275a8b2068
133c4451762
14227b2302c
1513cbbdce5
hexbffe48d0

3221113040 has 80 divisors (see below), whose sum is σ = 7665366528. Its totient is φ = 1258242048.

The previous prime is 3221113037. The next prime is 3221113043. The reversal of 3221113040 is 403111223.

It is an interprime number because it is at equal distance from previous prime (3221113037) and next prime (3221113043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221113043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2793104 + ... + 2794256.

Almost surely, 23221113040 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 3221113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832683264).

3221113040 is an abundant number, since it is smaller than the sum of its proper divisors (4444253488).

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

3221113040 is a wasteful number, since it uses less digits than its factorization.

3221113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3221113040 is about 56754.8503654093. The cubic root of 3221113040 is about 1476.8463772324.

Adding to 3221113040 its reverse (403111223), we get a palindrome (3624224263).

The spelling of 3221113040 in words is "three billion, two hundred twenty-one million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 743 752 940 1153 1486 1880 2306 2972 3715 3760 4612 5765 5944 7430 9224 11530 11888 14860 18448 23060 29720 34921 46120 54191 59440 69842 92240 108382 139684 174605 216764 270955 279368 349210 433528 541910 558736 698420 856679 867056 1083820 1396840 1713358 2167640 2793680 3426716 4283395 4335280 6853432 8566790 13706864 17133580 34267160 40263913 68534320 80527826 161055652 201319565 322111304 402639130 644222608 805278260 1610556520 3221113040