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10920222 = 23217127281
BaseRepresentation
bin101001101010…
…000100011110
3202112210201200
4221222010132
510243421342
61030020330
7161551245
oct51520436
922483650
1010920222
116189585
1237a76a6
132354691
14164395c
15e5a94c
hexa6a11e

10920222 has 48 divisors (see below), whose sum is σ = 25339392. Its totient is φ = 3386880.

The previous prime is 10920209. The next prime is 10920223. The reversal of 10920222 is 22202901.

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

It is a junction number, because it is equal to n+sod(n) for n = 10920195 and 10920204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10920223) 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 23 ways as a sum of consecutive naturals, for example, 38722 + ... + 39002.

It is an arithmetic number, because the mean of its divisors is an integer number (527904).

Almost surely, 210920222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10920222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12669696).

10920222 is an abundant number, since it is smaller than the sum of its proper divisors (14419170).

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

10920222 is a wasteful number, since it uses less digits than its factorization.

10920222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 430 counting only the distinct ones).

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

The square root of 10920222 is about 3304.5759183290. The cubic root of 10920222 is about 221.8590534595.

The spelling of 10920222 in words is "ten million, nine hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 127 153 254 281 306 381 562 762 843 1143 1686 2159 2286 2529 4318 4777 5058 6477 9554 12954 14331 19431 28662 35687 38862 42993 71374 85986 107061 214122 321183 606679 642366 1213358 1820037 3640074 5460111 10920222