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22982428 = 22723127281
BaseRepresentation
bin101011110101…
…0111100011100
31121020121222001
41113222330130
521340414203
62140332044
7366230110
oct127527434
947217861
1022982428
1111a78047
127844024
1349b8a91
1430a3740
15203e91d
hex15eaf1c

22982428 has 48 divisors (see below), whose sum is σ = 48513024. Its totient is φ = 9313920.

The previous prime is 22982417. The next prime is 22982429. The reversal of 22982428 is 82428922.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22982429) 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, 81648 + ... + 81928.

It is an arithmetic number, because the mean of its divisors is an integer number (1010688).

Almost surely, 222982428 is an apocalyptic number.

22982428 is a gapful number since it is divisible by the number (28) 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 22982428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24256512).

22982428 is an abundant number, since it is smaller than the sum of its proper divisors (25530596).

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

22982428 is a wasteful number, since it uses less digits than its factorization.

22982428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 440 counting only the distinct ones).

The product of its digits is 36864, while the sum is 37.

The square root of 22982428 is about 4793.9991656236. Note that the first 3 decimals coincide. The cubic root of 22982428 is about 284.3142557210.

The spelling of 22982428 in words is "twenty-two million, nine hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 127 161 254 281 322 508 562 644 889 1124 1778 1967 2921 3556 3934 5842 6463 7868 11684 12926 20447 25852 35687 40894 45241 71374 81788 90482 142748 180964 249809 499618 820801 999236 1641602 3283204 5745607 11491214 22982428