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22857828 = 2237416637
BaseRepresentation
bin101011100110…
…0100001100100
31121000022001020
41113030201210
521322422303
62133531140
7365200620
oct127144144
947008036
1022857828
11119a2474
1277a3ab0
134974156
143070180
152017a53
hex15cc864

22857828 has 48 divisors (see below), whose sum is σ = 62450304. Its totient is φ = 6370560.

The previous prime is 22857803. The next prime is 22857851. The reversal of 22857828 is 82875822.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 22857828.

It is an unprimeable number.

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, 126 + ... + 6762.

It is an arithmetic number, because the mean of its divisors is an integer number (1301048).

Almost surely, 222857828 is an apocalyptic number.

22857828 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 22857828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31225152).

22857828 is an abundant number, since it is smaller than the sum of its proper divisors (39592476).

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

22857828 is a wasteful number, since it uses less digits than its factorization.

22857828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6692 (or 6690 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 22857828 is about 4780.9860907558. The cubic root of 22857828 is about 283.7995179676.

The spelling of 22857828 in words is "twenty-two million, eight hundred fifty-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 6637 13274 19911 26548 39822 46459 79644 92918 139377 185836 272117 278754 544234 557508 816351 1088468 1632702 1904819 3265404 3809638 5714457 7619276 11428914 22857828