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2000033028 = 2232743379487
BaseRepresentation
bin111011100110110…
…0001010100000100
312011101102012112100
41313031201110010
513044002024103
6530243352100
7100364000040
oct16715412404
95141365470
102000033028
11936a6a464
12479982630
1325b4893c6
1414d8a7020
15ba8bc5a3
hex77361504

2000033028 has 144 divisors (see below), whose sum is σ = 5940014080. Its totient is φ = 555532992.

The previous prime is 2000032973. The next prime is 2000033029. The reversal of 2000033028 is 8203300002.

It is a super-2 number, since 2×20000330282 = 8000264226181697568, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2000033028.

It is not an unprimeable number, because it can be changed into a prime (2000033029) 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, 4106601 + ... + 4107087.

Almost surely, 22000033028 is an apocalyptic number.

2000033028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000033028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970007040).

2000033028 is an abundant number, since it is smaller than the sum of its proper divisors (3939981052).

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

2000033028 is a wasteful number, since it uses less digits than its factorization.

2000033028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2000033028 is about 44721.7288127371. The cubic root of 2000033028 is about 1259.9279853021.

The spelling of 2000033028 in words is "two billion, thirty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 379 387 487 516 602 758 774 903 974 1137 1204 1461 1516 1548 1806 1948 2274 2653 2709 2922 3409 3411 3612 4383 4548 5306 5418 5844 6818 6822 7959 8766 10227 10612 10836 13636 13644 15918 16297 17532 20454 20941 23877 30681 31836 32594 40908 41882 47754 48891 61362 62823 65188 83764 95508 97782 114079 122724 125646 146587 146673 184573 188469 195564 228158 251292 293174 293346 342237 369146 376938 439761 456316 553719 586348 586692 684474 738292 753876 879522 1026711 1107438 1292011 1319283 1368948 1661157 1759044 2053422 2214876 2584022 2638566 3322314 3876033 4106844 5168044 5277132 6644628 7752066 7936639 11628099 15504132 15873278 23256198 23809917 31746556 46512396 47619834 55556473 71429751 95239668 111112946 142859502 166669419 222225892 285719004 333338838 500008257 666677676 1000016514 2000033028