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22229046 = 2337231271
BaseRepresentation
bin101010011001…
…1000000110110
31112211100112000
41110303000312
521142312141
62112240130
7356641500
oct124630066
945740460
1022229046
1111603014
127540046
1347b3ba8
142d48d70
151e415b6
hex1533036

22229046 has 96 divisors (see below), whose sum is σ = 59535360. Its totient is φ = 6123600.

The previous prime is 22229041. The next prime is 22229057. The reversal of 22229046 is 64092222.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22229041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81891 + ... + 82161.

It is an arithmetic number, because the mean of its divisors is an integer number (620160).

Almost surely, 222229046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22229046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29767680).

22229046 is an abundant number, since it is smaller than the sum of its proper divisors (37306314).

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

22229046 is a wasteful number, since it uses less digits than its factorization.

22229046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 22229046 is about 4714.7689232878. The cubic root of 22229046 is about 281.1729958076.

The spelling of 22229046 in words is "twenty-two million, two hundred twenty-nine thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 271 279 294 378 434 441 542 558 651 813 837 882 1302 1323 1519 1626 1674 1897 1953 2439 2646 3038 3794 3906 4557 4878 5691 5859 7317 8401 9114 11382 11718 13279 13671 14634 16802 17073 25203 26558 27342 34146 39837 41013 50406 51219 58807 75609 79674 82026 102438 117614 119511 151218 176421 226827 239022 352842 358533 411649 453654 529263 717066 823298 1058526 1234947 1587789 2469894 3175578 3704841 7409682 11114523 22229046