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22273056 = 253413661
BaseRepresentation
bin101010011110…
…1110000100000
31112220120220000
41110331300200
521200214211
62113220000
7360214011
oct124756040
945816800
1022273056
1111633093
127561600
1347cac30
142d5b008
151e4e656
hex153dc20

22273056 has 120 divisors (see below), whose sum is σ = 70649964. Its totient is φ = 6842880.

The previous prime is 22273019. The next prime is 22273057. The reversal of 22273056 is 65037222.

It can be written as a sum of positive squares in 2 ways, for example, as 22240656 + 32400 = 4716^2 + 180^2 .

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

It is not an unprimeable number, because it can be changed into a prime (22273057) 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 19 ways as a sum of consecutive naturals, for example, 33366 + ... + 34026.

Almost surely, 222273056 is an apocalyptic number.

22273056 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22273056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35324982).

22273056 is an abundant number, since it is smaller than the sum of its proper divisors (48376908).

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

22273056 is a wasteful number, since it uses less digits than its factorization.

22273056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 22273056 is about 4719.4338643528. The cubic root of 22273056 is about 281.3584328562.

The spelling of 22273056 in words is "twenty-two million, two hundred seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 661 702 864 936 1053 1248 1296 1322 1404 1872 1983 2106 2592 2644 2808 3744 3966 4212 5288 5616 5949 7932 8424 8593 10576 11232 11898 15864 16848 17186 17847 21152 23796 25779 31728 33696 34372 35694 47592 51558 53541 63456 68744 71388 77337 95184 103116 107082 137488 142776 154674 190368 206232 214164 232011 274976 285552 309348 412464 428328 464022 571104 618696 696033 824928 856656 928044 1237392 1392066 1713312 1856088 2474784 2784132 3712176 5568264 7424352 11136528 22273056