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3311222130 = 2325376116301
BaseRepresentation
bin1100010101011101…
…0011110101110010
322112202122111211200
43011113103311302
523240133102010
61304322552030
7145024631556
oct30527236562
98482574750
103311222130
11144a10a217
12784b08616
1340a011248
14235a9b866
15145a6ccc0
hexc55d3d72

3311222130 has 96 divisors (see below), whose sum is σ = 8987357808. Its totient is φ = 844992000.

The previous prime is 3311222129. The next prime is 3311222137. The reversal of 3311222130 is 312221133.

3311222130 is a `hidden beast` number, since 3 + 311 + 222 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1795132161 + 1516089969 = 42369^2 + 38937^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3311222137) 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, 194980 + ... + 211280.

Almost surely, 23311222130 is an apocalyptic number.

3311222130 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 3311222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493678904).

3311222130 is an abundant number, since it is smaller than the sum of its proper divisors (5676135678).

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

3311222130 is a wasteful number, since it uses less digits than its factorization.

3311222130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16412 (or 16409 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3311222130 is about 57543.2196700880. The cubic root of 3311222130 is about 1490.4912768245.

Adding to 3311222130 its reverse (312221133), we get a palindrome (3623443263).

The spelling of 3311222130 in words is "three billion, three hundred eleven million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 61 74 90 111 122 183 185 222 305 333 366 370 549 555 610 666 915 1098 1110 1665 1830 2257 2745 3330 4514 5490 6771 11285 13542 16301 20313 22570 32602 33855 40626 48903 67710 81505 97806 101565 146709 163010 203130 244515 293418 489030 603137 733545 994361 1206274 1467090 1809411 1988722 2983083 3015685 3618822 4971805 5428233 5966166 6031370 8949249 9047055 9943610 10856466 14915415 17898498 18094110 27141165 29830830 36791357 44746245 54282330 73582714 89492490 110374071 183956785 220748142 331122213 367913570 551870355 662244426 1103740710 1655611065 3311222130