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22692096 = 28337267
BaseRepresentation
bin101011010010…
…0000100000000
31120200212201000
41112210010000
521302121341
62130212000
7363610500
oct126440400
946625630
1022692096
11118999a9
127724000
13491689b
143029a00
151ed38b6
hex15a4100

22692096 has 216 divisors, whose sum is σ = 79225440. Its totient is φ = 6386688.

The previous prime is 22692091. The next prime is 22692101. The reversal of 22692096 is 69029622.

It is an interprime number because it is at equal distance from previous prime (22692091) and next prime (22692101).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22692096.

It is not an unprimeable number, because it can be changed into a prime (22692091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338655 + ... + 338721.

Almost surely, 222692096 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 22692096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39612720).

22692096 is an abundant number, since it is smaller than the sum of its proper divisors (56533344).

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

22692096 is an equidigital number, since it uses as much as digits as its factorization.

22692096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 22692096 is about 4763.6221512626. The cubic root of 22692096 is about 283.1119519446. Note that the first 3 decimals are identical.

The spelling of 22692096 in words is "twenty-two million, six hundred ninety-two thousand, ninety-six".