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3105422000 = 24534137871
BaseRepresentation
bin1011100100011000…
…1111101010110000
322000102101210010122
42321012033222300
522324442001000
61232051545412
7136645436312
oct27106175260
98012353118
103105422000
111353a2556a
12727bbb268
133a64a5c15
142166097b2
1513296a085
hexb918fab0

3105422000 has 80 divisors (see below), whose sum is σ = 7692257664. Its totient is φ = 1211840000.

The previous prime is 3105421987. The next prime is 3105422003. The reversal of 3105422000 is 2245013.

3105422000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3105422000.

It is not an unprimeable number, because it can be changed into a prime (3105422003) 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, 63065 + ... + 100935.

Almost surely, 23105422000 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 3105422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846128832).

3105422000 is an abundant number, since it is smaller than the sum of its proper divisors (4586835664).

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

3105422000 is a wasteful number, since it uses less digits than its factorization.

3105422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37935 (or 37919 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 3105422000 is about 55726.3133537470. The cubic root of 3105422000 is about 1458.9493285219.

Adding to 3105422000 its reverse (2245013), we get a palindrome (3107667013).

The spelling of 3105422000 in words is "three billion, one hundred five million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 820 1000 1025 1640 2000 2050 3280 4100 5125 8200 10250 16400 20500 37871 41000 75742 82000 151484 189355 302968 378710 605936 757420 946775 1514840 1552711 1893550 3029680 3105422 3787100 4733875 6210844 7574200 7763555 9467750 12421688 15148400 15527110 18935500 24843376 31054220 37871000 38817775 62108440 75742000 77635550 124216880 155271100 194088875 310542200 388177750 621084400 776355500 1552711000 3105422000