Search a number
-
+
22751226 = 2333759193
BaseRepresentation
bin101011011001…
…0011111111010
31120210212211000
41112302133322
521311014401
62131345430
7364245051
oct126623772
946725730
1022751226
111192a373
127752276
134937784
143043398
151ee6186
hex15b27fa

22751226 has 64 divisors (see below), whose sum is σ = 53078400. Its totient is φ = 7216128.

The previous prime is 22751191. The next prime is 22751233. The reversal of 22751226 is 62215722.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22751226.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117786 + ... + 117978.

It is an arithmetic number, because the mean of its divisors is an integer number (829350).

Almost surely, 222751226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22751226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26539200).

22751226 is an abundant number, since it is smaller than the sum of its proper divisors (30327174).

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

22751226 is a wasteful number, since it uses less digits than its factorization.

22751226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 22751226 is about 4769.8245250743. The cubic root of 22751226 is about 283.3576452802.

Adding to 22751226 its reverse (62215722), we get a palindrome (84966948).

The spelling of 22751226 in words is "twenty-two million, seven hundred fifty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 37 54 59 74 111 118 177 193 222 333 354 386 531 579 666 999 1062 1158 1593 1737 1998 2183 3186 3474 4366 5211 6549 7141 10422 11387 13098 14282 19647 21423 22774 34161 39294 42846 58941 64269 68322 102483 117882 128538 192807 204966 307449 385614 421319 614898 842638 1263957 2527914 3791871 7583742 11375613 22751226