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3221072010 = 2325136314363
BaseRepresentation
bin1011111111111101…
…1010100010001010
322022111000102010100
42333333122202022
523044043301020
61251342430230
7142551442332
oct27777324212
98274012110
103221072010
111403236092
1275a892376
133c4438b90
14227b120c2
1513cbb1a90
hexbffda88a

3221072010 has 96 divisors (see below), whose sum is σ = 9035365248. Its totient is φ = 791441280.

The previous prime is 3221071951. The next prime is 3221072011. The reversal of 3221072010 is 102701223.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3221072011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736089 + ... + 740451.

It is an arithmetic number, because the mean of its divisors is an integer number (94118388).

Almost surely, 23221072010 is an apocalyptic number.

3221072010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221072010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517682624).

3221072010 is an abundant number, since it is smaller than the sum of its proper divisors (5814293238).

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

3221072010 is a wasteful number, since it uses less digits than its factorization.

3221072010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3221072010 is about 56754.4888973551. The cubic root of 3221072010 is about 1476.8401065983.

Adding to 3221072010 its reverse (102701223), we get a palindrome (3323773233).

The spelling of 3221072010 in words is "three billion, two hundred twenty-one million, seventy-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 631 1170 1262 1893 3155 3786 4363 5679 6310 8203 8726 9465 11358 13089 16406 18930 21815 24609 26178 28395 39267 41015 43630 49218 56719 56790 65445 73827 78534 82030 113438 123045 130890 147654 170157 196335 246090 283595 340314 369135 392670 510471 567190 738270 850785 1020942 1701570 2552355 2753053 5104710 5506106 8259159 13765265 16518318 24777477 27530530 35789689 41295795 49554954 71579378 82591590 107369067 123887385 178948445 214738134 247774770 322107201 357896890 536845335 644214402 1073690670 1610536005 3221072010