Search a number
-
+
6225540 = 22351943127
BaseRepresentation
bin10111101111111010000100
3102201021211120
4113233322010
53043204130
6341233540
7103626156
oct27577204
912637746
106225540
113572382
1221028b0
13139c869
14b80ad6
1582e910
hex5efe84

6225540 has 96 divisors (see below), whose sum is σ = 18923520. Its totient is φ = 1524096.

The previous prime is 6225533. The next prime is 6225547. The reversal of 6225540 is 455226.

6225540 = T800 + T801 + ... + T818.

It is an interprime number because it is at equal distance from previous prime (6225533) and next prime (6225547).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 6225540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6225547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48957 + ... + 49083.

It is an arithmetic number, because the mean of its divisors is an integer number (197120).

Almost surely, 26225540 is an apocalyptic number.

6225540 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 6225540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9461760).

6225540 is an abundant number, since it is smaller than the sum of its proper divisors (12697980).

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

6225540 is a wasteful number, since it uses less digits than its factorization.

6225540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 6225540 is about 2495.1032042783. The cubic root of 6225540 is about 183.9609636785.

The spelling of 6225540 in words is "six million, two hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 43 57 60 76 86 95 114 127 129 172 190 215 228 254 258 285 380 381 430 508 516 570 635 645 762 817 860 1140 1270 1290 1524 1634 1905 2413 2451 2540 2580 3268 3810 4085 4826 4902 5461 7239 7620 8170 9652 9804 10922 12065 12255 14478 16340 16383 21844 24130 24510 27305 28956 32766 36195 48260 49020 54610 65532 72390 81915 103759 109220 144780 163830 207518 311277 327660 415036 518795 622554 1037590 1245108 1556385 2075180 3112770 6225540