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2253053000 = 235311239857
BaseRepresentation
bin1000011001001010…
…1101110001001000
312211000111221200102
42012102231301020
514103240144000
61011322424532
7106555430432
oct20622556110
95730457612
102253053000
11a56876080
1252a662148
1329ba18573
1417532b652
15d2beb3d5
hex864adc48

2253053000 has 128 divisors (see below), whose sum is σ = 5782233600. Its totient is φ = 814912000.

The previous prime is 2253052981. The next prime is 2253053039. The reversal of 2253053000 is 3503522.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 2628572 + ... + 2629428.

It is an arithmetic number, because the mean of its divisors is an integer number (45173700).

Almost surely, 22253053000 is an apocalyptic number.

2253053000 is a gapful number since it is divisible by the number (20) 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 2253053000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2891116800).

2253053000 is an abundant number, since it is smaller than the sum of its proper divisors (3529180600).

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

2253053000 is a wasteful number, since it uses less digits than its factorization.

2253053000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 2253053000 is about 47466.3354389192. The cubic root of 2253053000 is about 1310.9631050543.

Adding to 2253053000 its reverse (3503522), we get a palindrome (2256556522).

The spelling of 2253053000 in words is "two billion, two hundred fifty-three million, fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 239 250 275 440 478 500 550 857 956 1000 1100 1195 1375 1714 1912 2200 2390 2629 2750 3428 4285 4780 5258 5500 5975 6856 8570 9427 9560 10516 11000 11950 13145 17140 18854 21032 21425 23900 26290 29875 34280 37708 42850 47135 47800 52580 59750 65725 75416 85700 94270 105160 107125 119500 131450 171400 188540 204823 214250 235675 239000 262900 328625 377080 409646 428500 471350 525800 657250 819292 857000 942700 1024115 1178375 1314500 1638584 1885400 2048230 2253053 2356750 2629000 4096460 4506106 4713500 5120575 8192920 9012212 9427000 10241150 11265265 18024424 20482300 22530530 25602875 40964600 45061060 51205750 56326325 90122120 102411500 112652650 204823000 225305300 281631625 450610600 563263250 1126526500 2253053000