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2263265360 = 245315367257
BaseRepresentation
bin1000011011100110…
…1011000001010000
312211201201210101222
42012321223001100
514113343442420
61012325344212
7110041303166
oct20671530120
95751653358
102263265360
11a61610844
12531b68068
132a0b82995
14176829236
15d3a67225
hex86e6b050

2263265360 has 160 divisors (see below), whose sum is σ = 5638781952. Its totient is φ = 843448320.

The previous prime is 2263265359. The next prime is 2263265363. The reversal of 2263265360 is 635623622.

It is a self number, because there is not a number n which added to its sum of digits gives 2263265360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263265363) by changing a digit.

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, 8806352 + ... + 8806608.

Almost surely, 22263265360 is an apocalyptic number.

2263265360 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 2263265360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819390976).

2263265360 is an abundant number, since it is smaller than the sum of its proper divisors (3375516592).

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

2263265360 is a wasteful number, since it uses less digits than its factorization.

2263265360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 35.

The square root of 2263265360 is about 47573.7885815288. The cubic root of 2263265360 is about 1312.9408437189.

Adding to 2263265360 its reverse (635623622), we get a palindrome (2898888982).

The spelling of 2263265360 in words is "two billion, two hundred sixty-three million, two hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 53 62 67 80 106 124 134 155 212 248 257 265 268 310 335 424 496 514 530 536 620 670 848 1028 1060 1072 1240 1285 1340 1643 2056 2077 2120 2480 2570 2680 3286 3551 4112 4154 4240 5140 5360 6572 7102 7967 8215 8308 10280 10385 13144 13621 14204 15934 16430 16616 17219 17755 20560 20770 26288 27242 28408 31868 32860 33232 34438 35510 39835 41540 54484 56816 63736 65720 68105 68876 71020 79670 83080 86095 108968 110081 127472 131440 136210 137752 142040 159340 166160 172190 217936 220162 272420 275504 284080 318680 344380 422251 440324 533789 544840 550405 637360 688760 844502 880648 912607 1067578 1089680 1100810 1377520 1689004 1761296 1825214 2111255 2135156 2201620 2668945 3378008 3650428 4222510 4270312 4403240 4563035 5337890 6756016 7300856 8445020 8540624 8806480 9126070 10675780 14601712 16890040 18252140 21351560 28290817 33780080 36504280 42703120 56581634 73008560 113163268 141454085 226326536 282908170 452653072 565816340 1131632680 2263265360