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9002293020 = 223457793853
BaseRepresentation
bin10000110001001010…
…00001011100011100
3212020101101212110000
420120211001130130
5121414041334040
64045142214300
7436041141150
oct103045013434
925211355400
109002293020
1138aa617a96
1218b2a24390
13b060a3c06
14615851060
1537a4d1130
hex21894171c

9002293020 has 120 divisors (see below), whose sum is σ = 32274928224. Its totient is φ = 2057664384.

The previous prime is 9002292979. The next prime is 9002293039. The reversal of 9002293020 is 203922009.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 385587 + ... + 408266.

Almost surely, 29002293020 is an apocalyptic number.

9002293020 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9002293020 is an abundant number, since it is smaller than the sum of its proper divisors (23272635204).

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

9002293020 is a wasteful number, since it uses less digits than its factorization.

9002293020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793881 (or 793870 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9002293020 is about 94880.4143119116. The cubic root of 9002293020 is about 2080.2604626368.

The spelling of 9002293020 in words is "nine billion, two million, two hundred ninety-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 793853 1587706 2381559 3175412 3969265 4763118 5556971 7144677 7938530 9526236 11113942 11907795 14289354 15877060 16670913 21434031 22227884 23815590 27784855 28578708 33341826 35723385 42868062 47631180 50012739 55569710 64302093 66683652 71446770 83354565 85736124 100025478 107170155 111139420 128604186 142893540 150038217 166709130 200050956 214340310 250063695 257208372 300076434 321510465 333418260 428680620 450114651 500127390 600152868 643020930 750191085 900229302 1000254780 1286041860 1500382170 1800458604 2250573255 3000764340 4501146510 9002293020