Search a number
-
+
3105219690 = 2325139401619
BaseRepresentation
bin1011100100010101…
…1110010001101010
322000102000111121200
42321011132101222
522324414012230
61232043345030
7136643634426
oct27105362152
98012014550
103105219690
1113538a7571
12727b22176
133a6434b01
14216595b86
1513292a160
hexb915e46a

3105219690 has 96 divisors (see below), whose sum is σ = 8165102400. Its totient is φ = 818726400.

The previous prime is 3105219679. The next prime is 3105219739. The reversal of 3105219690 is 969125013.

3105219690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31052196902 = 19284778646327392200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5016201 + ... + 5016819.

It is an arithmetic number, because the mean of its divisors is an integer number (85053150).

Almost surely, 23105219690 is an apocalyptic number.

3105219690 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 3105219690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082551200).

3105219690 is an abundant number, since it is smaller than the sum of its proper divisors (5059882710).

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

3105219690 is a wasteful number, since it uses less digits than its factorization.

3105219690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 3105219690 is about 55724.4981134869. The cubic root of 3105219690 is about 1458.9176456085.

The spelling of 3105219690 in words is "three billion, one hundred five million, two hundred nineteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 401 417 619 695 802 834 1203 1238 1251 1390 1857 2005 2085 2406 2502 3095 3609 3714 4010 4170 5571 6015 6190 6255 7218 9285 11142 12030 12510 18045 18570 27855 36090 55710 55739 86041 111478 167217 172082 248219 258123 278695 334434 430205 496438 501651 516246 557390 744657 774369 836085 860410 1003302 1241095 1290615 1489314 1548738 1672170 2233971 2482190 2508255 2581230 3723285 3871845 4467942 5016510 7446570 7743690 11169855 22339710 34502441 69004882 103507323 172512205 207014646 310521969 345024410 517536615 621043938 1035073230 1552609845 3105219690