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16022112 = 253475367
BaseRepresentation
bin111101000111…
…101001100000
31010011000012120
4331013221200
513100201422
61331224240
7253120461
oct75075140
933130176
1016022112
119053717
125448080
13341c952
1421b0d68
15161745c
hexf47a60

16022112 has 96 divisors (see below), whose sum is σ = 44416512. Its totient is φ = 5051904.

The previous prime is 16022107. The next prime is 16022117. The reversal of 16022112 is 21122061.

16022112 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (16022107) and next prime (16022117).

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

It is a junction number, because it is equal to n+sod(n) for n = 16022091 and 16022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16022117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239103 + ... + 239169.

It is an arithmetic number, because the mean of its divisors is an integer number (462672).

Almost surely, 216022112 is an apocalyptic number.

16022112 is a gapful number since it is divisible by the number (12) 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 16022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22208256).

16022112 is an abundant number, since it is smaller than the sum of its proper divisors (28394400).

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

16022112 is a wasteful number, since it uses less digits than its factorization.

16022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 16022112 is about 4002.7630456973. The cubic root of 16022112 is about 252.1002372715.

Adding to 16022112 its reverse (21122061), we get a palindrome (37144173).

The spelling of 16022112 in words is "sixteen million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 53 67 94 96 106 134 141 159 188 201 212 268 282 318 376 402 424 536 564 636 752 804 848 1072 1128 1272 1504 1608 1696 2144 2256 2491 2544 3149 3216 3551 4512 4982 5088 6298 6432 7102 7473 9447 9964 10653 12596 14204 14946 18894 19928 21306 25192 28408 29892 37788 39856 42612 50384 56816 59784 75576 79712 85224 100768 113632 119568 151152 166897 170448 239136 302304 333794 340896 500691 667588 1001382 1335176 2002764 2670352 4005528 5340704 8011056 16022112