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92022 = 2372313
BaseRepresentation
bin10110011101110110
311200020020
4112131312
510421042
61550010
7532200
oct263566
9150206
1092022
1163157
1245306
1332b68
1425770
151c3ec
hex16776

92022 has 24 divisors (see below), whose sum is σ = 214776. Its totient is φ = 26208.

The previous prime is 92009. The next prime is 92033. The reversal of 92022 is 22029.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 91992 and 92010.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 92022.

It is an unprimeable number.

92022 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 138 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (8949).

292022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107388).

92022 is an abundant number, since it is smaller than the sum of its proper divisors (122754).

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

92022 is a wasteful number, since it uses less digits than its factorization.

92022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 92022 is about 303.3512815203. The cubic root of 92022 is about 45.1471724688.

The spelling of 92022 in words is "ninety-two thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 313 626 939 1878 2191 4382 6573 13146 15337 30674 46011 92022