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222426464 = 251319107263
BaseRepresentation
bin11010100000111…
…11010101100000
3120111112102202012
431100133111200
5423420121324
634023212052
75340410441
oct1520372540
9514472665
10222426464
11104610327
12625a7028
1337109cc0
142177d2c8
15147d920e
hexd41f560

222426464 has 96 divisors (see below), whose sum is σ = 502951680. Its totient is φ = 95980032.

The previous prime is 222426461. The next prime is 222426469. The reversal of 222426464 is 464624222.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 222426464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222426461) 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 15 ways as a sum of consecutive naturals, for example, 845597 + ... + 845859.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2222426464 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 222426464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251475840).

222426464 is an abundant number, since it is smaller than the sum of its proper divisors (280525216).

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

222426464 is a wasteful number, since it uses less digits than its factorization.

222426464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 404 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 222426464 is about 14913.9687541580. The cubic root of 222426464 is about 605.8923734261.

The spelling of 222426464 in words is "two hundred twenty-two million, four hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 107 152 208 214 247 263 304 416 428 494 526 608 856 988 1052 1391 1712 1976 2033 2104 2782 3419 3424 3952 4066 4208 4997 5564 6838 7904 8132 8416 9994 11128 13676 16264 19988 22256 26429 27352 28141 32528 39976 44512 52858 54704 56282 64961 65056 79952 105716 109408 112564 129922 159904 211432 225128 259844 365833 422864 450256 519688 534679 731666 845728 900512 1039376 1069358 1463332 2078752 2138716 2926664 4277432 5853328 6950827 8554864 11706656 13901654 17109728 27803308 55606616 111213232 222426464