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22206072 = 23371311009
BaseRepresentation
bin101010010110…
…1011001111000
31112210012000010
41110231121320
521141043242
62111541520
7356514510
oct124553170
945705003
1022206072
1111597829
12752a8a0
1347a65b5
142d40840
151e3989c
hex152d678

22206072 has 64 divisors (see below), whose sum is σ = 63993600. Its totient is φ = 6289920.

The previous prime is 22206061. The next prime is 22206101. The reversal of 22206072 is 27060222.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 21504 + ... + 22512.

It is an arithmetic number, because the mean of its divisors is an integer number (999900).

Almost surely, 222206072 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 22206072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31996800).

22206072 is an abundant number, since it is smaller than the sum of its proper divisors (41787528).

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

22206072 is a wasteful number, since it uses less digits than its factorization.

22206072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 22206072 is about 4712.3319068164. The cubic root of 22206072 is about 281.0760971363.

Adding to 22206072 its reverse (27060222), we get a palindrome (49266294).

It can be divided in two parts, 2 and 2206072, that multiplied together give a palindrome (4412144).

The spelling of 22206072 in words is "twenty-two million, two hundred six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1009 1048 1572 1834 2018 2751 3027 3144 3668 4036 5502 6054 7063 7336 8072 11004 12108 14126 21189 22008 24216 28252 42378 56504 84756 132179 169512 264358 396537 528716 793074 925253 1057432 1586148 1850506 2775759 3172296 3701012 5551518 7402024 11103036 22206072