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222314534040 = 233537191262151
BaseRepresentation
bin1100111100001011111…
…0101001010010011000
3210020211111000110120010
43033002332221102120
512120300010042130
6250044020001520
722030106234364
oct3170276512230
9706744013503
10222314534040
1186312838975
12371048302a0
1317c6c38a481
14aa8d93a2a4
155bb24d30b0
hex33c2fa9498

222314534040 has 128 divisors (see below), whose sum is σ = 688557957120. Its totient is φ = 57379392000.

The previous prime is 222314534017. The next prime is 222314534047. The reversal of 222314534040 is 40435413222.

222314534040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 222314533989 and 222314534007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222314534047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716965 + ... + 979115.

It is an arithmetic number, because the mean of its divisors is an integer number (5379359040).

Almost surely, 2222314534040 is an apocalyptic number.

222314534040 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 222314534040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344278978560).

222314534040 is an abundant number, since it is smaller than the sum of its proper divisors (466243423080).

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

222314534040 is a wasteful number, since it uses less digits than its factorization.

222314534040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262393 (or 262389 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 222314534040 its reverse (40435413222), we get a palindrome (262749947262).

The spelling of 222314534040 in words is "two hundred twenty-two billion, three hundred fourteen million, five hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 191 222 296 370 382 444 555 573 740 764 888 955 1110 1146 1480 1528 1910 2220 2292 2865 3820 4440 4584 5730 7067 7640 11460 14134 21201 22920 28268 35335 42402 56536 70670 84804 106005 141340 169608 212010 262151 282680 424020 524302 786453 848040 1048604 1310755 1572906 2097208 2621510 3145812 3932265 5243020 6291624 7864530 9699587 10486040 15729060 19399174 29098761 31458120 38798348 48497935 50070841 58197522 77596696 96995870 100141682 116395044 145493805 150212523 193991740 200283364 232790088 250354205 290987610 300425046 387983480 400566728 500708410 581975220 600850092 751062615 1001416820 1163950440 1201700184 1502125230 1852621117 2002833640 3004250460 3705242234 5557863351 6008500920 7410484468 9263105585 11115726702 14820968936 18526211170 22231453404 27789316755 37052422340 44462906808 55578633510 74104844680 111157267020 222314534040