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22168700 = 2252415407
BaseRepresentation
bin101010010010…
…0010001111100
31112201021201222
41110210101330
521133344300
62111052512
7356300531
oct124442174
945637658
1022168700
1111571744
127511138
134792598
142d30d88
151e2d785
hex152447c

22168700 has 36 divisors (see below), whose sum is σ = 49288512. Its totient is φ = 8649600.

The previous prime is 22168669. The next prime is 22168703. The reversal of 22168700 is 786122.

It is a self number, because there is not a number n which added to its sum of digits gives 22168700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22168703) 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 11 ways as a sum of consecutive naturals, for example, 1397 + ... + 6803.

Almost surely, 222168700 is an apocalyptic number.

22168700 is a gapful number since it is divisible by the number (20) 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 22168700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24644256).

22168700 is an abundant number, since it is smaller than the sum of its proper divisors (27119812).

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

22168700 is a wasteful number, since it uses less digits than its factorization.

22168700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 22168700 is about 4708.3648966494. The cubic root of 22168700 is about 280.9183283626.

It can be divided in two parts, 221 and 68700, that added together give a cube (68921 = 413).

The spelling of 22168700 in words is "twenty-two million, one hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 5407 10814 21628 27035 54070 108140 135175 221687 270350 443374 540700 886748 1108435 2216870 4433740 5542175 11084350 22168700