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2253203452560 = 243573509252667
BaseRepresentation
bin100000110010011101011…
…001000011001010010000
321222101220121210221212110
4200302131121003022100
5243404030040440220
64443035105425320
7321534324224454
oct40623531031220
97871817727773
102253203452560
1179963a676395
1230482933b240
13134626200408
147b0ac908664
153d927177be0
hex20c9d643290

2253203452560 has 160 divisors (see below), whose sum is σ = 7094553598080. Its totient is φ = 591456743424.

The previous prime is 2253203452547. The next prime is 2253203452603. The reversal of 2253203452560 is 652543023522.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8791347 + ... + 9044013.

It is an arithmetic number, because the mean of its divisors is an integer number (44340959988).

Almost surely, 22253203452560 is an apocalyptic number.

2253203452560 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 2253203452560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547276799040).

2253203452560 is an abundant number, since it is smaller than the sum of its proper divisors (4841350145520).

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

2253203452560 is a wasteful number, since it uses less digits than its factorization.

2253203452560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253265 (or 253259 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 2253203452560 in words is "two trillion, two hundred fifty-three billion, two hundred three million, four hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 73 80 120 146 219 240 292 365 438 509 584 730 876 1018 1095 1168 1460 1527 1752 2036 2190 2545 2920 3054 3504 4072 4380 5090 5840 6108 7635 8144 8760 10180 12216 15270 17520 20360 24432 30540 37157 40720 61080 74314 111471 122160 148628 185785 222942 252667 297256 371570 445884 505334 557355 594512 743140 758001 891768 1010668 1114710 1263335 1486280 1516002 1783536 2021336 2229420 2526670 2972560 3032004 3790005 4042672 4458840 5053340 6064008 7580010 8917680 10106680 12128016 15160020 18444691 20213360 30320040 36889382 55334073 60640080 73778764 92223455 110668146 128607503 147557528 184446910 221336292 257215006 276670365 295115056 368893820 385822509 442672584 514430012 553340730 643037515 737787640 771645018 885345168 1028860024 1106681460 1286075030 1475575280 1543290036 1929112545 2057720048 2213362920 2572150060 3086580072 3858225090 4426725840 5144300120 6173160144 7716450180 9388347719 10288600240 15432900360 18776695438 28165043157 30865800720 37553390876 46941738595 56330086314 75106781752 93883477190 112660172628 140825215785 150213563504 187766954380 225320345256 281650431570 375533908760 450640690512 563300863140 751067817520 1126601726280 2253203452560