Search a number
-
+
7222401610644 = 22311611227773061
BaseRepresentation
bin110100100011001100010…
…1011101011001110010100
3221120110021120211101120210
41221012120223223032110
51421312434303020034
623205531523525420
71343541562523343
oct151063053531624
927513246741523
107222401610644
112335004470150
129878bb829870
134050b9a531cc
141ad7cd55bb5a
15c7d106828e9
hex69198aeb394

7222401610644 has 96 divisors (see below), whose sum is σ = 18687454676352. Its totient is φ = 2152522944000.

The previous prime is 7222401610609. The next prime is 7222401610657. The reversal of 7222401610644 is 4460161042227.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98817874 + ... + 98890934.

It is an arithmetic number, because the mean of its divisors is an integer number (194660986212).

Almost surely, 27222401610644 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 7222401610644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9343727338176).

7222401610644 is an abundant number, since it is smaller than the sum of its proper divisors (11465053065708).

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

7222401610644 is a wasteful number, since it uses less digits than its factorization.

7222401610644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85417 (or 85415 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 7222401610644 in words is "seven trillion, two hundred twenty-two billion, four hundred one million, six hundred ten thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 8052 12277 24554 36831 49108 73061 73662 135047 146122 147324 219183 270094 292244 405141 438366 540188 748897 803671 810282 876732 1497794 1607342 1620564 2246691 2411013 2995588 3214684 4456721 4493382 4822026 8237867 8913442 8986764 9644052 13370163 16475734 17826884 24713601 26740326 32951468 49023931 49427202 53480652 98047862 98854404 147071793 196095724 294143586 588287172 896969897 1793939794 2690909691 3587879588 5381819382 9866668867 10763638764 19733337734 29600006601 39466675468 54715163717 59200013202 109430327434 118400026404 164145491151 218860654868 328290982302 601866800887 656581964604 1203733601774 1805600402661 2407467203548 3611200805322 7222401610644