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2293224 = 2331947107
BaseRepresentation
bin1000101111110111101000
311022111201020
420233313220
51041340344
6121052440
725330533
oct10576750
94274636
102293224
111326a2a
12927120
13623a4b
14439a1a
15304719
hex22fde8

2293224 has 64 divisors (see below), whose sum is σ = 6220800. Its totient is φ = 702144.

The previous prime is 2293219. The next prime is 2293231. The reversal of 2293224 is 4223922.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2293194 and 2293203.

It is an unprimeable number.

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, 21379 + ... + 21485.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

22293224 is an apocalyptic number.

2293224 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 2293224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110400).

2293224 is an abundant number, since it is smaller than the sum of its proper divisors (3927576).

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

2293224 is a wasteful number, since it uses less digits than its factorization.

2293224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 178 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 2293224 is about 1514.3394599627. The cubic root of 2293224 is about 131.8708562447.

The spelling of 2293224 in words is "two million, two hundred ninety-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 47 57 76 94 107 114 141 152 188 214 228 282 321 376 428 456 564 642 856 893 1128 1284 1786 2033 2568 2679 3572 4066 5029 5358 6099 7144 8132 10058 10716 12198 15087 16264 20116 21432 24396 30174 40232 48792 60348 95551 120696 191102 286653 382204 573306 764408 1146612 2293224