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2154222 = 233741139
BaseRepresentation
bin1000001101111011101110
311001110001000
420031323232
51022413342
6114101130
724211350
oct10157356
94043030
102154222
111241554
1287a7a6
135a56b5
144010d0
152c844c
hex20deee

2154222 has 64 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 596160.

The previous prime is 2154209. The next prime is 2154227. The reversal of 2154222 is 2224512.

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

It is a junction number, because it is equal to n+sod(n) for n = 2154195 and 2154204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154227) 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 31 ways as a sum of consecutive naturals, for example, 15429 + ... + 15567.

It is an arithmetic number, because the mean of its divisors is an integer number (88200).

22154222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

2154222 is an abundant number, since it is smaller than the sum of its proper divisors (3490578).

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

2154222 is a wasteful number, since it uses less digits than its factorization.

2154222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 320, while the sum is 18.

The square root of 2154222 is about 1467.7268138179. The cubic root of 2154222 is about 129.1507162175.

Adding to 2154222 its reverse (2224512), we get a palindrome (4378734).

The spelling of 2154222 in words is "two million, one hundred fifty-four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 82 123 126 139 189 246 278 287 369 378 417 574 738 834 861 973 1107 1251 1722 1946 2214 2502 2583 2919 3753 5166 5699 5838 7506 7749 8757 11398 15498 17097 17514 26271 34194 39893 51291 52542 79786 102582 119679 153873 239358 307746 359037 718074 1077111 2154222