Search a number
-
+
22254768 = 2432179091
BaseRepresentation
bin101010011100…
…1010010110000
31112212122210200
41110321102300
521144123033
62112555200
7360106464
oct124712260
945778720
1022254768
1111620378
127552b00
1347c2803
142d544a4
151e49013
hex15394b0

22254768 has 60 divisors (see below), whose sum is σ = 65953368. Its totient is φ = 6981120.

The previous prime is 22254761. The next prime is 22254773. The reversal of 22254768 is 86745222.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (22254761) 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 11 ways as a sum of consecutive naturals, for example, 2098 + ... + 6993.

Almost surely, 222254768 is an apocalyptic number.

It is an amenable number.

22254768 is an abundant number, since it is smaller than the sum of its proper divisors (43698600).

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

22254768 is a wasteful number, since it uses less digits than its factorization.

22254768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9122 (or 9113 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 22254768 is about 4717.4959459442. The cubic root of 22254768 is about 281.2814056782.

The spelling of 22254768 in words is "twenty-two million, two hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 9091 18182 27273 36364 54546 72728 81819 109092 145456 154547 163638 218184 309094 327276 436368 463641 618188 654552 927282 1236376 1309104 1390923 1854564 2472752 2781846 3709128 5563692 7418256 11127384 22254768