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3220012032 = 21035319777
BaseRepresentation
bin1011111111101101…
…0111110000000000
322022102000120002220
42333323113300000
523043310341112
61251304011040
7142536436116
oct27773276000
98272016086
103220012032
111402681776
1275a460a80
133c4157583
14227917ab6
1513ca5298c
hexbfed7c00

3220012032 has 88 divisors (see below), whose sum is σ = 8744882256. Its totient is φ = 1053032448.

The previous prime is 3220012009. The next prime is 3220012049. The reversal of 3220012032 is 2302100223.

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, 152928 + ... + 172704.

It is an arithmetic number, because the mean of its divisors is an integer number (99373662).

Almost surely, 23220012032 is an apocalyptic number.

3220012032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372441128).

3220012032 is an abundant number, since it is smaller than the sum of its proper divisors (5524870224).

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

3220012032 is a wasteful number, since it uses less digits than its factorization.

3220012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19853 (or 19835 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3220012032 is about 56745.1498544149. The cubic root of 3220012032 is about 1476.6780912027.

Adding to 3220012032 its reverse (2302100223), we get a palindrome (5522112255).

The spelling of 3220012032 in words is "three billion, two hundred twenty million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 384 424 512 636 768 848 1024 1272 1536 1696 2544 3072 3392 5088 6784 10176 13568 19777 20352 27136 39554 40704 54272 59331 79108 81408 118662 158216 162816 237324 316432 474648 632864 949296 1048181 1265728 1898592 2096362 2531456 3144543 3797184 4192724 5062912 6289086 7594368 8385448 10125824 12578172 15188736 16770896 20251648 25156344 30377472 33541792 50312688 60754944 67083584 100625376 134167168 201250752 268334336 402501504 536668672 805003008 1073337344 1610006016 3220012032