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22256856 = 23351072
BaseRepresentation
bin101010011100…
…1110011011000
31112212202200000
41110321303120
521144204411
62113013000
7360115536
oct124716330
945782600
1022256856
11116219a6
127554160
1347c374b
142d55156
151e49956
hex1539cd8

22256856 has 72 divisors (see below), whose sum is σ = 63101220. Its totient is φ = 7349616.

The previous prime is 22256851. The next prime is 22256879. The reversal of 22256856 is 65865222.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (72).

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 22256856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22256851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207955 + ... + 208061.

Almost surely, 222256856 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 22256856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31550610).

22256856 is an abundant number, since it is smaller than the sum of its proper divisors (40844364).

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

22256856 is an equidigital number, since it uses as much as digits as its factorization.

22256856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 112 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 22256856 is about 4717.7172446004. The cubic root of 22256856 is about 281.2902022532.

The spelling of 22256856 in words is "twenty-two million, two hundred fifty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 243 321 324 428 486 642 648 856 963 972 1284 1926 1944 2568 2889 3852 5778 7704 8667 11449 11556 17334 22898 23112 26001 34347 34668 45796 52002 68694 69336 91592 103041 104004 137388 206082 208008 274776 309123 412164 618246 824328 927369 1236492 1854738 2472984 2782107 3709476 5564214 7418952 11128428 22256856