Search a number
-
+
22148280 = 233257111747
BaseRepresentation
bin101010001111…
…1010010111000
31112200020201200
41110133102320
521132221110
62110414200
7356154150
oct124372270
945606650
1022148280
1111558370
127501360
1347861bb
142d27760
151e276c0
hex151f4b8

22148280 has 384 divisors, whose sum is σ = 97044480. Its totient is φ = 4239360.

The previous prime is 22148267. The next prime is 22148293. The reversal of 22148280 is 8284122.

It is an interprime number because it is at equal distance from previous prime (22148267) and next prime (22148293).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471217 + ... + 471263.

It is an arithmetic number, because the mean of its divisors is an integer number (252720).

Almost surely, 222148280 is an apocalyptic number.

22148280 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 22148280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48522240).

22148280 is an abundant number, since it is smaller than the sum of its proper divisors (74896200).

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

22148280 is a wasteful number, since it uses less digits than its factorization.

22148280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22148280 is about 4706.1959160239. The cubic root of 22148280 is about 280.8320488416.

The spelling of 22148280 in words is "twenty-two million, one hundred forty-eight thousand, two hundred eighty".