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22078728 = 2332771617
BaseRepresentation
bin101010000111…
…0010100001000
31112112201022200
41110032110020
521123004403
62105120200
7355444320
oct124162410
945481280
1022078728
1111510091
127489060
134760649
142d0a280
151e11ca3
hex150e508

22078728 has 96 divisors (see below), whose sum is σ = 69413760. Its totient is φ = 6209280.

The previous prime is 22078723. The next prime is 22078729. The reversal of 22078728 is 82787022.

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

It is a junction number, because it is equal to n+sod(n) for n = 22078692 and 22078701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22078723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35476 + ... + 36092.

It is an arithmetic number, because the mean of its divisors is an integer number (723060).

Almost surely, 222078728 is an apocalyptic number.

22078728 is a gapful number since it is divisible by the number (28) 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 22078728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34706880).

22078728 is an abundant number, since it is smaller than the sum of its proper divisors (47335032).

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

22078728 is a wasteful number, since it uses less digits than its factorization.

22078728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 22078728 is about 4698.8006980505. The cubic root of 22078728 is about 280.5377759946.

The spelling of 22078728 in words is "twenty-two million, seventy-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 71 72 84 126 142 168 213 252 284 426 497 504 568 617 639 852 994 1234 1278 1491 1704 1851 1988 2468 2556 2982 3702 3976 4319 4473 4936 5112 5553 5964 7404 8638 8946 11106 11928 12957 14808 17276 17892 22212 25914 34552 35784 38871 43807 44424 51828 77742 87614 103656 131421 155484 175228 262842 306649 310968 350456 394263 525684 613298 788526 919947 1051368 1226596 1577052 1839894 2453192 2759841 3154104 3679788 5519682 7359576 11039364 22078728