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3221225376 = 253316011801
BaseRepresentation
bin1011111111111111…
…1111111110100000
322022111022012111120
42333333333332200
523044113203001
61251350012240
7142552651425
oct27777777640
98274265446
103221225376
111403330336
1275a947080
133c4490925
14227b51d4c
1513cbe2236
hexbfffffa0

3221225376 has 96 divisors (see below), whose sum is σ = 8747859456. Its totient is φ = 1036800000.

The previous prime is 3221225303. The next prime is 3221225377. The reversal of 3221225376 is 6735221223.

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

It is not an unprimeable number, because it can be changed into a prime (3221225377) 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, 1787676 + ... + 1789476.

It is an arithmetic number, because the mean of its divisors is an integer number (91123536).

Almost surely, 23221225376 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 3221225376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373929728).

3221225376 is an abundant number, since it is smaller than the sum of its proper divisors (5526634080).

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

3221225376 is a wasteful number, since it uses less digits than its factorization.

3221225376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2438 counting only the distinct ones).

The product of its digits is 30240, while the sum is 33.

The square root of 3221225376 is about 56755.8400166890. The cubic root of 3221225376 is about 1476.8635453235.

Adding to 3221225376 its reverse (6735221223), we get a palindrome (9956446599).

The spelling of 3221225376 in words is "three billion, two hundred twenty-one million, two hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 601 744 992 1202 1488 1801 1803 2404 2976 3602 3606 4808 5403 7204 7212 9616 10806 14408 14424 18631 19232 21612 28816 28848 37262 43224 55831 55893 57632 57696 74524 86448 111662 111786 149048 167493 172896 223324 223572 298096 334986 446648 447144 596192 669972 893296 894288 1082401 1339944 1786592 1788576 2164802 2679888 3247203 4329604 5359776 6494406 8659208 12988812 17318416 25977624 33554431 34636832 51955248 67108862 100663293 103910496 134217724 201326586 268435448 402653172 536870896 805306344 1073741792 1610612688 3221225376