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22230912 = 2731119277
BaseRepresentation
bin101010011001…
…1011110000000
31112211110002010
41110303132000
521142342122
62112252520
7356650104
oct124633600
945743063
1022230912
1111604460
127541140
1347b49b2
142d49904
151e41e0c
hex1533780

22230912 has 128 divisors (see below), whose sum is σ = 68054400. Its totient is φ = 6359040.

The previous prime is 22230911. The next prime is 22230913. The reversal of 22230912 is 21903222.

It is an interprime number because it is at equal distance from previous prime (22230911) and next prime (22230913).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22230911) 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 15 ways as a sum of consecutive naturals, for example, 80118 + ... + 80394.

It is an arithmetic number, because the mean of its divisors is an integer number (531675).

Almost surely, 222230912 is an apocalyptic number.

22230912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22230912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34027200).

22230912 is an abundant number, since it is smaller than the sum of its proper divisors (45823488).

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

22230912 is a wasteful number, since it uses less digits than its factorization.

22230912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 22230912 is about 4714.9668079426. The cubic root of 22230912 is about 281.1808632037.

The spelling of 22230912 in words is "twenty-two million, two hundred thirty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 176 192 209 228 264 277 304 352 384 418 456 528 554 608 627 704 831 836 912 1056 1108 1216 1254 1408 1662 1672 1824 2112 2216 2432 2508 3047 3324 3344 3648 4224 4432 5016 5263 6094 6648 6688 7296 8864 9141 10032 10526 12188 13296 13376 15789 17728 18282 20064 21052 24376 26592 26752 31578 35456 36564 40128 42104 48752 53184 57893 63156 73128 80256 84208 97504 106368 115786 126312 146256 168416 173679 195008 231572 252624 292512 336832 347358 390016 463144 505248 585024 673664 694716 926288 1010496 1170048 1389432 1852576 2020992 2778864 3705152 5557728 7410304 11115456 22230912