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22266468 = 2233729453
BaseRepresentation
bin101010011110…
…0001001100100
31112220020212000
41110330021210
521200011333
62113125300
7360155550
oct124741144
945806760
1022266468
1111629144
127559830
1347c7c33
142d58860
151e4c713
hex153c264

22266468 has 48 divisors (see below), whose sum is σ = 65976960. Its totient is φ = 6361632.

The previous prime is 22266467. The next prime is 22266469. The reversal of 22266468 is 86466222.

22266468 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 646 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (22266467) and next prime (22266469).

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 (22266467) 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 15 ways as a sum of consecutive naturals, for example, 13971 + ... + 15482.

It is an arithmetic number, because the mean of its divisors is an integer number (1374520).

Almost surely, 222266468 is an apocalyptic number.

22266468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22266468 is an abundant number, since it is smaller than the sum of its proper divisors (43710492).

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

22266468 is a wasteful number, since it uses less digits than its factorization.

22266468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29473 (or 29465 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 22266468 is about 4718.7358476609. The cubic root of 22266468 is about 281.3306897370.

The spelling of 22266468 in words is "twenty-two million, two hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 29453 58906 88359 117812 176718 206171 265077 353436 412342 530154 618513 795231 824684 1060308 1237026 1590462 1855539 2474052 3180924 3711078 5566617 7422156 11133234 22266468