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2255326360 = 235741712767
BaseRepresentation
bin1000011001101101…
…1000110010011000
312211011210110010221
42012123120302120
514104330420420
61011443245424
7106613646340
oct20633306230
95734713127
102255326360
11a58089091
1252b379874
1329c333251
1417575dd20
15d2ee9caa
hex866d8c98

2255326360 has 128 divisors (see below), whose sum is σ = 6026711040. Its totient is φ = 743500800.

The previous prime is 2255326357. The next prime is 2255326361. The reversal of 2255326360 is 636235522.

It is a super-2 number, since 2×22553263602 = 10172993980221699200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255326361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 813697 + ... + 816463.

It is an arithmetic number, because the mean of its divisors is an integer number (47083680).

Almost surely, 22255326360 is an apocalyptic number.

2255326360 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 2255326360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013355520).

2255326360 is an abundant number, since it is smaller than the sum of its proper divisors (3771384680).

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

2255326360 is a wasteful number, since it uses less digits than its factorization.

2255326360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The square root of 2255326360 is about 47490.2764784540. The cubic root of 2255326360 is about 1311.4038831544.

The spelling of 2255326360 in words is "two billion, two hundred fifty-five million, three hundred twenty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 71 82 140 142 164 205 280 284 287 328 355 410 497 568 574 710 820 994 1148 1420 1435 1640 1988 2296 2485 2767 2840 2870 2911 3976 4970 5534 5740 5822 9940 11068 11480 11644 13835 14555 19369 19880 20377 22136 23288 27670 29110 38738 40754 55340 58220 77476 81508 96845 101885 110680 113447 116440 154952 163016 193690 196457 203770 226894 387380 392914 407540 453788 567235 774760 785828 794129 815080 907576 982285 1134470 1375199 1571656 1588258 1964570 2268940 2750398 3176516 3929140 3970645 4537880 5500796 6353032 6875995 7858280 7941290 8054737 11001592 13751990 15882580 16109474 27503980 31765160 32218948 40273685 55007960 56383159 64437896 80547370 112766318 161094740 225532636 281915795 322189480 451065272 563831590 1127663180 2255326360