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22113216 = 263367191
BaseRepresentation
bin101010001011…
…0101111000000
31112121110122000
41110112233000
521130110331
62105544000
7355650006
oct124265700
945543560
1022113216
1111533a94
1274a5000
134773258
142d18a76
151e1c0e6
hex1516bc0

22113216 has 112 divisors (see below), whose sum is σ = 66324480. Its totient is φ = 7223040.

The previous prime is 22113191. The next prime is 22113229. The reversal of 22113216 is 61231122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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, 115681 + ... + 115871.

Almost surely, 222113216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33162240).

22113216 is an abundant number, since it is smaller than the sum of its proper divisors (44211264).

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

22113216 is a wasteful number, since it uses less digits than its factorization.

22113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 22113216 is about 4702.4691386547. The cubic root of 22113216 is about 280.6837710219.

Adding to 22113216 its reverse (61231122), we get a palindrome (83344338).

The spelling of 22113216 in words is "twenty-two million, one hundred thirteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 191 192 201 216 268 288 382 402 432 536 573 576 603 764 804 864 1072 1146 1206 1528 1608 1719 1728 1809 2144 2292 2412 3056 3216 3438 3618 4288 4584 4824 5157 6112 6432 6876 7236 9168 9648 10314 12224 12797 12864 13752 14472 18336 19296 20628 25594 27504 28944 36672 38391 38592 41256 51188 55008 57888 76782 82512 102376 110016 115173 115776 153564 165024 204752 230346 307128 330048 345519 409504 460692 614256 691038 819008 921384 1228512 1382076 1842768 2457024 2764152 3685536 5528304 7371072 11056608 22113216