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112225163536 = 24173783913291
BaseRepresentation
bin110100010000100100…
…1000001100100010000
3101201200011102222220101
41220201021001210100
53314314120213121
6123315554422144
711052021102463
oct1504111014420
9351604388811
10112225163536
114365a1a7442
12198bbb91954
13a7764cc015
1456089312da
152dbc635491
hex1a21241910

112225163536 has 80 divisors (see below), whose sum is σ = 236748597120. Its totient is φ = 51319388160.

The previous prime is 112225163527. The next prime is 112225163537. The reversal of 112225163536 is 635361522211.

112225163536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1122251635364 (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 112225163495 and 112225163504.

It is not an unprimeable number, because it can be changed into a prime (112225163537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8437051 + ... + 8450341.

It is an arithmetic number, because the mean of its divisors is an integer number (2959357464).

Almost surely, 2112225163536 is an apocalyptic number.

112225163536 is a gapful number since it is divisible by the number (16) 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 112225163536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118374298560).

112225163536 is an abundant number, since it is smaller than the sum of its proper divisors (124523433584).

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

112225163536 is a wasteful number, since it uses less digits than its factorization.

112225163536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14192 (or 14186 counting only the distinct ones).

The product of its digits is 64800, while the sum is 37.

Adding to 112225163536 its reverse (635361522211), we get a palindrome (747586685747).

The spelling of 112225163536 in words is "one hundred twelve billion, two hundred twenty-five million, one hundred sixty-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 37 68 74 136 148 272 296 592 629 839 1258 1678 2516 3356 5032 6712 10064 13291 13424 14263 26582 28526 31043 53164 57052 62086 106328 114104 124172 212656 225947 228208 248344 451894 491767 496688 527731 903788 983534 1055462 1807576 1967068 2110924 3615152 3934136 4221848 7868272 8360039 8443696 11151149 16720078 22302298 33440156 44604596 66880312 89209192 133760624 178418384 189569533 379139066 412592513 758278132 825185026 1516556264 1650370052 3033112528 3300740104 6601480208 7014072721 14028145442 28056290884 56112581768 112225163536