Search a number
-
+
6922260 = 223454273
BaseRepresentation
bin11010011010000000010100
3111000200120000
4122122000110
53233003020
6404211300
7112560342
oct32320024
914020500
106922260
1139a8884
122399b30
131584a17
14cc2992
1591b090
hex69a014

6922260 has 60 divisors (see below), whose sum is σ = 21720468. Its totient is φ = 1845504.

The previous prime is 6922231. The next prime is 6922261. The reversal of 6922260 is 622296.

It can be written as a sum of positive squares in 2 ways, for example, as 2178576 + 4743684 = 1476^2 + 2178^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6922261) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 517 + ... + 3756.

Almost surely, 26922260 is an apocalyptic number.

6922260 is a gapful number since it is divisible by the number (60) 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 6922260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10860234).

6922260 is an abundant number, since it is smaller than the sum of its proper divisors (14798208).

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

6922260 is a wasteful number, since it uses less digits than its factorization.

6922260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6922260 is about 2631.0188140718. The cubic root of 6922260 is about 190.5823315770.

The spelling of 6922260 in words is "six million, nine hundred twenty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4273 8546 12819 17092 21365 25638 38457 42730 51276 64095 76914 85460 115371 128190 153828 192285 230742 256380 346113 384570 461484 576855 692226 769140 1153710 1384452 1730565 2307420 3461130 6922260