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2162004528 = 2431971173193
BaseRepresentation
bin1000000011011101…
…1001001000110000
312120200012012122210
42000313121020300
513411433121103
6554311132120
7104401510125
oct20067311060
95520165583
102162004528
11a0a439002
12504074040
13285bba328
141671ca74c
15c9c13e03
hex80dd9230

2162004528 has 160 divisors (see below), whose sum is σ = 6027471360. Its totient is φ = 665763840.

The previous prime is 2162004527. The next prime is 2162004539. The reversal of 2162004528 is 8254002612.

It is a junction number, because it is equal to n+sod(n) for n = 2162004495 and 2162004504.

It is not an unprimeable number, because it can be changed into a prime (2162004527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11202000 + ... + 11202192.

It is an arithmetic number, because the mean of its divisors is an integer number (37671696).

Almost surely, 22162004528 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 2162004528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013735680).

2162004528 is an abundant number, since it is smaller than the sum of its proper divisors (3865466832).

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

2162004528 is a wasteful number, since it uses less digits than its factorization.

2162004528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2162004528 is about 46497.3604412121. The cubic root of 2162004528 is about 1293.0605630397.

The spelling of 2162004528 in words is "two billion, one hundred sixty-two million, four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 71 76 114 142 152 173 193 213 228 284 304 346 386 426 456 519 568 579 692 772 852 912 1038 1136 1158 1349 1384 1544 1704 2076 2316 2698 2768 3088 3287 3408 3667 4047 4152 4632 5396 6574 7334 8094 8304 9264 9861 10792 11001 12283 13148 13703 14668 16188 19722 21584 22002 24566 26296 27406 29336 32376 33389 36849 39444 41109 44004 49132 52592 54812 58672 64752 66778 73698 78888 82218 88008 98264 100167 109624 133556 147396 157776 164436 176016 196528 200334 219248 233377 260357 267112 294792 328872 400668 466754 520714 534224 589584 634391 657744 700131 781071 801336 933508 1041428 1268782 1400262 1562142 1602672 1867016 1903173 2082856 2370619 2537564 2800524 3124284 3734032 3806346 4165712 4741238 5075128 5601048 6248568 7111857 7612692 9482476 10150256 11202096 12497136 14223714 15225384 18964952 28447428 30450768 37929904 45041761 56894856 90083522 113789712 135125283 180167044 270250566 360334088 540501132 720668176 1081002264 2162004528