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22066434 = 23213181521
BaseRepresentation
bin101010000101…
…1010100000010
31112112002110100
41110023110002
521122111214
62104543230
7355363425
oct124132402
945462410
1022066434
1111501925
127481b16
134757b80
142d059bc
151e0d309
hex150b502

22066434 has 48 divisors (see below), whose sum is σ = 51872184. Its totient is φ = 6739200.

The previous prime is 22066417. The next prime is 22066441. The reversal of 22066434 is 43466022.

22066434 is a `hidden beast` number, since 220 + 6 + 6 + 434 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5688225 + 16378209 = 2385^2 + 4047^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 22066398 and 22066407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42094 + ... + 42614.

Almost surely, 222066434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22066434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25936092).

22066434 is an abundant number, since it is smaller than the sum of its proper divisors (29805750).

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

22066434 is a wasteful number, since it uses less digits than its factorization.

22066434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 22066434 is about 4697.4923097329. The cubic root of 22066434 is about 280.4856961259.

It can be divided in two parts, 22066 and 434, that added together give a square (22500 = 1502).

The spelling of 22066434 in words is "twenty-two million, sixty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 181 234 362 521 543 1042 1086 1563 1629 2353 3126 3258 4689 4706 6773 7059 9378 13546 14118 20319 21177 40638 42354 60957 94301 121914 188602 282903 565806 848709 1225913 1697418 2451826 3677739 7355478 11033217 22066434