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11230222560 = 2535157149021
BaseRepresentation
bin10100111010101111…
…11001100011100000
31001222122122102012220
422131113321203200
5140444414110220
65054210351040
7545203213434
oct123527714340
931878572186
1011230222560
114843193477
122214b8b480
13109c83400b
147876bc9c4
1545adb8540
hex29d5f98e0

11230222560 has 96 divisors (see below), whose sum is σ = 35600759712. Its totient is φ = 2975631360.

The previous prime is 11230222543. The next prime is 11230222639. The reversal of 11230222560 is 6522203211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112302225602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11230222560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 850 + ... + 149870.

It is an arithmetic number, because the mean of its divisors is an integer number (370841247).

Almost surely, 211230222560 is an apocalyptic number.

11230222560 is a gapful number since it is divisible by the number (10) 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 11230222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17800379856).

11230222560 is an abundant number, since it is smaller than the sum of its proper divisors (24370537152).

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

11230222560 is a wasteful number, since it uses less digits than its factorization.

11230222560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149196 (or 149188 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11230222560 its reverse (6522203211), we get a palindrome (17752425771).

The spelling of 11230222560 in words is "eleven billion, two hundred thirty million, two hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 157 160 240 314 471 480 628 785 942 1256 1570 1884 2355 2512 3140 3768 4710 5024 6280 7536 9420 12560 15072 18840 25120 37680 75360 149021 298042 447063 596084 745105 894126 1192168 1490210 1788252 2235315 2384336 2980420 3576504 4470630 4768672 5960840 7153008 8941260 11921680 14306016 17882520 23396297 23843360 35765040 46792594 70188891 71530080 93585188 116981485 140377782 187170376 233962970 280755564 350944455 374340752 467925940 561511128 701888910 748681504 935851880 1123022256 1403777820 1871703760 2246044512 2807555640 3743407520 5615111280 11230222560