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223422264 = 233213298231
BaseRepresentation
bin11010101000100…
…10011100111000
3120120102000201200
431110102130320
5424144003024
634100414200
75352025602
oct1524223470
9516360650
10223422264
111051304aa
12629a7360
1337398330
142195c172
15149342c9
hexd512738

223422264 has 96 divisors (see below), whose sum is σ = 674200800. Its totient is φ = 66366720.

The previous prime is 223422263. The next prime is 223422271. The reversal of 223422264 is 462224322.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223422263) 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 23 ways as a sum of consecutive naturals, for example, 23029 + ... + 31259.

It is an arithmetic number, because the mean of its divisors is an integer number (7022925).

Almost surely, 2223422264 is an apocalyptic number.

223422264 is a gapful number since it is divisible by the number (24) 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 223422264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337100400).

223422264 is an abundant number, since it is smaller than the sum of its proper divisors (450778536).

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

223422264 is a wasteful number, since it uses less digits than its factorization.

223422264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8278 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 223422264 is about 14947.3162808579. The cubic root of 223422264 is about 606.7952178308.

Adding to 223422264 its reverse (462224322), we get a palindrome (685646586).

The spelling of 223422264 in words is "two hundred twenty-three million, four hundred twenty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 377 468 522 696 754 936 1044 1131 1508 2088 2262 3016 3393 4524 6786 8231 9048 13572 16462 24693 27144 32924 49386 65848 74079 98772 107003 148158 197544 214006 238699 296316 321009 428012 477398 592632 642018 716097 856024 954796 963027 1284036 1432194 1909592 1926054 2148291 2568072 2864388 3103087 3852108 4296582 5728776 6206174 7704216 8593164 9309261 12412348 17186328 18618522 24824696 27927783 37237044 55855566 74474088 111711132 223422264