Search a number
-
+
26221140 = 2232511171941
BaseRepresentation
bin110010000000…
…1101001010100
31211100011122100
41210001221110
523203034030
62334002100
7435606321
oct144015124
954304570
1026221140
111388a370
128946330
135580c8a
1436a7b48
15247e360
hex1901a54

26221140 has 288 divisors, whose sum is σ = 99066240. Its totient is φ = 5529600.

The previous prime is 26221109. The next prime is 26221141. The reversal of 26221140 is 4112262.

26221140 is a `hidden beast` number, since 2 + 622 + 1 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26221141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 639520 + ... + 639560.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 226221140 is an apocalyptic number.

26221140 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 26221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49533120).

26221140 is an abundant number, since it is smaller than the sum of its proper divisors (72845100).

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

26221140 is a wasteful number, since it uses less digits than its factorization.

26221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 26221140 is about 5120.6581608227. The cubic root of 26221140 is about 297.0871424052.

The spelling of 26221140 in words is "twenty-six million, two hundred twenty-one thousand, one hundred forty".