Search a number
-
+
22826412 = 22327239379
BaseRepresentation
bin101011100010…
…0110110101100
31120221200221200
41113010312230
521320421122
62133125500
7365010210
oct127046654
946850850
1022826412
1111980904
127789890
134962a6b
143062940
15200d5ac
hex15c4dac

22826412 has 72 divisors (see below), whose sum is σ = 66393600. Its totient is φ = 6477408.

The previous prime is 22826407. The next prime is 22826449. The reversal of 22826412 is 21462822.

It is a happy number.

22826412 is a `hidden beast` number, since 228 + 26 + 412 = 666.

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 23 ways as a sum of consecutive naturals, for example, 60039 + ... + 60417.

Almost surely, 222826412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22826412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33196800).

22826412 is an abundant number, since it is smaller than the sum of its proper divisors (43567188).

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

22826412 is a wasteful number, since it uses less digits than its factorization.

22826412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 630 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 22826412 is about 4777.6994463863. The cubic root of 22826412 is about 283.6694395039.

The spelling of 22826412 in words is "twenty-two million, eight hundred twenty-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 239 252 379 478 717 758 956 1137 1434 1516 1673 2151 2274 2653 2868 3346 3411 4302 4548 5019 5306 6692 6822 7959 8604 10038 10612 13644 15057 15918 20076 23877 30114 31836 47754 60228 90581 95508 181162 271743 362324 543486 634067 815229 1086972 1268134 1630458 1902201 2536268 3260916 3804402 5706603 7608804 11413206 22826412