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15132226240 = 2651923108211
BaseRepresentation
bin11100001011111001…
…10111001011000000
31110001120221201222201
432011330313023000
5221442322214430
610541320042544
71043663541445
oct160574671300
943046851881
1015132226240
1164658245aa
122b23903454
131572063c31
14a37a039cc
155d87328ca
hex385f372c0

15132226240 has 112 divisors (see below), whose sum is σ = 39579621120. Its totient is φ = 5484948480.

The previous prime is 15132226231. The next prime is 15132226247. The reversal of 15132226240 is 4262223151.

15132226240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 15132226199 and 15132226208.

It is not an unprimeable number, because it can be changed into a prime (15132226247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85735 + ... + 193945.

Almost surely, 215132226240 is an apocalyptic number.

15132226240 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 15132226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19789810560).

15132226240 is an abundant number, since it is smaller than the sum of its proper divisors (24447394880).

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

15132226240 is a wasteful number, since it uses less digits than its factorization.

15132226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108270 (or 108260 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 15132226240 its reverse (4262223151), we get a palindrome (19394449391).

The spelling of 15132226240 in words is "fifteen billion, one hundred thirty-two million, two hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 152 160 184 190 230 304 320 368 380 437 460 608 736 760 874 920 1216 1472 1520 1748 1840 2185 3040 3496 3680 4370 6080 6992 7360 8740 13984 17480 27968 34960 69920 108211 139840 216422 432844 541055 865688 1082110 1731376 2056009 2164220 2488853 3462752 4112018 4328440 4977706 6925504 8224036 8656880 9955412 10280045 12444265 16448072 17313760 19910824 20560090 24888530 32896144 34627520 39821648 41120180 47288207 49777060 65792288 79643296 82240360 94576414 99554120 131584576 159286592 164480720 189152828 199108240 236441035 328961440 378305656 398216480 472882070 657922880 756611312 796432960 945764140 1513222624 1891528280 3026445248 3783056560 7566113120 15132226240