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2242422 = 232713372
BaseRepresentation
bin1000100011011101110110
311012221000200
420203131312
51033224142
6120021330
725026450
oct10433566
94187020
102242422
1112a1846
12901846
136068a0
144252d0
152e464c
hex223776

2242422 has 72 divisors (see below), whose sum is σ = 6145776. Its totient is φ = 575424.

The previous prime is 2242381. The next prime is 2242433.

2242422 is a `hidden beast` number, since 2 + 242 + 422 = 666.

2242422 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2242395 and 2242404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60588 + ... + 60624.

It is an arithmetic number, because the mean of its divisors is an integer number (85358).

22242422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072888).

2242422 is an abundant number, since it is smaller than the sum of its proper divisors (3903354).

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

2242422 is a wasteful number, since it uses less digits than its factorization.

2242422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 62 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 2242422 is about 1497.4718695188. The cubic root of 2242422 is about 130.8897932939.

The spelling of 2242422 in words is "two million, two hundred forty-two thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 63 74 78 91 111 117 126 182 222 234 259 273 333 481 518 546 666 777 819 962 1369 1443 1554 1638 2331 2738 2886 3367 4107 4329 4662 6734 8214 8658 9583 10101 12321 17797 19166 20202 24642 28749 30303 35594 53391 57498 60606 86247 106782 124579 160173 172494 249158 320346 373737 747474 1121211 2242422