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22229856 = 2533112339
BaseRepresentation
bin101010011001…
…1001101100000
31112211101122000
41110303031200
521142323411
62112244000
7356644035
oct124631540
945741560
1022229856
1111603690
127540600
1347b437c
142d4938c
151e41956
hex1533360

22229856 has 96 divisors (see below), whose sum is σ = 70761600. Its totient is φ = 6733440.

The previous prime is 22229849. The next prime is 22229873. The reversal of 22229856 is 65892222.

It is a tau number, because it is divible by the number of its divisors (96).

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 22229856.

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, 8335 + ... + 10673.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 222229856 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 22229856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800).

22229856 is an abundant number, since it is smaller than the sum of its proper divisors (48531744).

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

22229856 is a wasteful number, since it uses less digits than its factorization.

22229856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369 (or 2355 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 22229856 is about 4714.8548227915. The cubic root of 22229856 is about 281.1764109693.

The spelling of 22229856 in words is "twenty-two million, two hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2339 2376 3168 4678 4752 7017 9356 9504 14034 18712 21051 25729 28068 37424 42102 51458 56136 63153 74848 77187 84204 102916 112272 126306 154374 168408 205832 224544 231561 252612 308748 336816 411664 463122 505224 617496 673632 694683 823328 926244 1010448 1234992 1389366 1852488 2020896 2469984 2778732 3704976 5557464 7409952 11114928 22229856