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2240253545200 = 245211901156503
BaseRepresentation
bin100000100110011001100…
…001000100101011110000
321221011111010021111120221
4200212121201010223300
5243201014401421300
64433054104142424
7320565366641506
oct40463141045360
97834433244527
102240253545200
117940a47a5310
12302214467a14
1313334131a038
147a600a9c676
153d41a31d31a
hex20999844af0

2240253545200 has 120 divisors (see below), whose sum is σ = 5872256401536. Its totient is φ = 814532832000.

The previous prime is 2240253545147. The next prime is 2240253545203. The reversal of 2240253545200 is 25453520422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240253545203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39620149 + ... + 39676651.

Almost surely, 22240253545200 is an apocalyptic number.

2240253545200 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 2240253545200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936128200768).

2240253545200 is an abundant number, since it is smaller than the sum of its proper divisors (3632002856336).

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

2240253545200 is a wasteful number, since it uses less digits than its factorization.

2240253545200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65543 (or 65532 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 34.

The spelling of 2240253545200 in words is "two trillion, two hundred forty billion, two hundred fifty-three million, five hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 9011 18022 36044 45055 56503 72088 90110 99121 113006 144176 180220 198242 225275 226012 282515 360440 396484 450550 452024 495605 565030 621533 720880 792968 901100 904048 991210 1130060 1243066 1412575 1585936 1802200 1982420 2260120 2478025 2486132 2825150 3107665 3604400 3964840 4520240 4956050 4972264 5650300 6215330 7929680 9912100 9944528 11300600 12430660 15538325 19824200 22601200 24861320 31076650 39648400 49722640 62153300 124306600 248613200 509148533 1018297066 2036594132 2545742665 4073188264 5091485330 5600633863 8146376528 10182970660 11201267726 12728713325 20365941320 22402535452 25457426650 28003169315 40731882640 44805070904 50914853300 56006338630 89610141808 101829706600 112012677260 140015846575 203659413200 224025354520 280031693150 448050709040 560063386300 1120126772600 2240253545200