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2382019164 = 2237725557
BaseRepresentation
bin1000110111111010…
…1011101001011100
320011000012010000000
42031332223221130
514334244103124
61032210534300
7113012554200
oct21576535134
96130163000
102382019164
111012651288
12565897390
132bc6615c5
141884dcb00
15de1c36c9
hex8dfaba5c

2382019164 has 144 divisors (see below), whose sum is σ = 7273865760. Its totient is φ = 680454432.

The previous prime is 2382019153. The next prime is 2382019193. The reversal of 2382019164 is 4619102832.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 425874 + ... + 431430.

Almost surely, 22382019164 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 2382019164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636932880).

2382019164 is an abundant number, since it is smaller than the sum of its proper divisors (4891846596).

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

2382019164 is an equidigital number, since it uses as much as digits as its factorization.

2382019164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5596 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2382019164 is about 48805.9336966316. The cubic root of 2382019164 is about 1335.5139139958.

The spelling of 2382019164 in words is "two billion, three hundred eighty-two million, nineteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 729 756 882 972 1134 1323 1458 1701 1764 2187 2268 2646 2916 3402 3969 4374 5103 5292 5557 6804 7938 8748 10206 11114 11907 15309 15876 16671 20412 22228 23814 30618 33342 35721 38899 47628 50013 61236 66684 71442 77798 100026 107163 116697 142884 150039 155596 200052 214326 233394 272293 300078 350091 428652 450117 466788 544586 600156 700182 816879 900234 1050273 1089172 1350351 1400364 1633758 1800468 2100546 2450637 2700702 3150819 3267516 4051053 4201092 4901274 5401404 6301638 7351911 8102106 9452457 9802548 12153159 12603276 14703822 16204212 18904914 22055733 24306318 28357371 29407644 37809828 44111466 48612636 56714742 66167199 85072113 88222932 113429484 132334398 170144226 198501597 264668796 340288452 397003194 595504791 794006388 1191009582 2382019164