Search a number
-
+
22827246 = 23131973211
BaseRepresentation
bin101011100010…
…1000011101110
31120221202002120
41113011003232
521320432441
62133133410
7365012511
oct127050356
946852076
1022827246
11119814a2
12778a266
134963260
143062d78
15200d966
hex15c50ee

22827246 has 64 divisors (see below), whose sum is σ = 52711680. Its totient is φ = 6531840.

The previous prime is 22827229. The next prime is 22827271. The reversal of 22827246 is 64272822.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 108081 + ... + 108291.

It is an arithmetic number, because the mean of its divisors is an integer number (823620).

Almost surely, 222827246 is an apocalyptic number.

22827246 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22827246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26355840).

22827246 is an abundant number, since it is smaller than the sum of its proper divisors (29884434).

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

22827246 is a wasteful number, since it uses less digits than its factorization.

22827246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321.

The product of its digits is 21504, while the sum is 33.

The square root of 22827246 is about 4777.7867260898. The cubic root of 22827246 is about 283.6728942362.

The spelling of 22827246 in words is "twenty-two million, eight hundred twenty-seven thousand, two hundred forty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 73 78 114 146 211 219 247 422 438 494 633 741 949 1266 1387 1482 1898 2743 2774 2847 4009 4161 5486 5694 8018 8229 8322 12027 15403 16458 18031 24054 30806 36062 46209 52117 54093 92418 104234 108186 156351 200239 292657 312702 400478 585314 600717 877971 1201434 1755942 3804541 7609082 11413623 22827246