Search a number
-
+
3122322330 = 235374797617
BaseRepresentation
bin1011101000011010…
…1101101110011010
322001121012102000210
42322012231232122
522343303303310
61233454111550
7140242205361
oct27206555632
98047172023
103122322330
111362518a86
127317ab5b6
133a9b4250a
142189687d8
151341a7820
hexba1adb9a

3122322330 has 128 divisors (see below), whose sum is σ = 7953748992. Its totient is φ = 783433728.

The previous prime is 3122322319. The next prime is 3122322337. The reversal of 3122322330 is 332232213.

It is a super-3 number, since 3×31223223303 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3122322297 and 3122322306.

It is not an unprimeable number, because it can be changed into a prime (3122322337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5060182 + ... + 5060798.

It is an arithmetic number, because the mean of its divisors is an integer number (62138664).

Almost surely, 23122322330 is an apocalyptic number.

3122322330 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 3122322330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976874496).

3122322330 is an abundant number, since it is smaller than the sum of its proper divisors (4831426662).

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

3122322330 is a wasteful number, since it uses less digits than its factorization.

3122322330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3122322330 is about 55877.7444963556. The cubic root of 3122322330 is about 1461.5911735382.

Adding to 3122322330 its reverse (332232213), we get a palindrome (3454554543).

The spelling of 3122322330 in words is "three billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 47 74 94 97 111 141 185 194 222 235 282 291 370 470 485 555 582 617 705 970 1110 1234 1410 1455 1739 1851 2910 3085 3478 3589 3702 4559 5217 6170 7178 8695 9118 9255 10434 10767 13677 17390 17945 18510 21534 22795 22829 26085 27354 28999 35890 45590 45658 52170 53835 57998 59849 68385 68487 86997 107670 114145 119698 136770 136974 144995 168683 173994 179547 228290 289990 299245 337366 342435 359094 434985 506049 598490 684870 843415 869970 897735 1012098 1072963 1686830 1795470 2145926 2214413 2530245 2812903 3218889 4428826 5060490 5364815 5625806 6437778 6643239 8438709 10729630 11072065 13286478 14064515 16094445 16877418 22144130 28129030 32188890 33216195 42193545 66432390 84387090 104077411 208154822 312232233 520387055 624464466 1040774110 1561161165 3122322330