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224122024 = 23719375693
BaseRepresentation
bin11010101101111…
…01010010101000
3120121201120121201
431112331102220
5424333401044
634123413544
75361001660
oct1526752250
9517646551
10224122024
11105569215
12630842b4
13375819a9
1421aa11a0
1514a217d4
hexd5bd4a8

224122024 has 64 divisors (see below), whose sum is σ = 519292800. Its totient is φ = 88521984.

The previous prime is 224122013. The next prime is 224122027. The reversal of 224122024 is 420221422.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 224121992 and 224122010.

It is not an unprimeable number, because it can be changed into a prime (224122027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36522 + ... + 42214.

It is an arithmetic number, because the mean of its divisors is an integer number (8113950).

Almost surely, 2224122024 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 224122024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259646400).

224122024 is an abundant number, since it is smaller than the sum of its proper divisors (295170776).

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

224122024 is a wasteful number, since it uses less digits than its factorization.

224122024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5762 (or 5758 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 224122024 is about 14970.7055277966. The cubic root of 224122024 is about 607.4280531459.

Adding to 224122024 its reverse (420221422), we get a palindrome (644343446).

The spelling of 224122024 in words is "two hundred twenty-four million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 19 28 37 38 56 74 76 133 148 152 259 266 296 518 532 703 1036 1064 1406 2072 2812 4921 5624 5693 9842 11386 19684 22772 39368 39851 45544 79702 108167 159404 210641 216334 318808 421282 432668 757169 842564 865336 1474487 1514338 1685128 2948974 3028676 4002179 5897948 6057352 8004358 11795896 16008716 28015253 32017432 56030506 112061012 224122024